Pith Number

pith:TD2PDXL3

pith:2026:TD2PDXL326HKCOWFNIUG25NXHK

not attested not anchored not stored refs pending

Quantifying the Reconstructability of Astrophysical Methods with Large Language Models and Information Theory: A Case Study in Spectral Reconstruction

Hsing Wen Lin, Zong-Fu Sie

Increasing text clarifies astrophysical method structure but leaves an entropy floor of implementation variance.

arxiv:2605.11154 v2 · 2026-05-11 · astro-ph.IM · cs.AI · cs.LG

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\usepackage{pith}
\pithnumber{TD2PDXL326HKCOWFNIUG25NXHK}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

while increasing text successfully clarifies the overall algorithmic structure, it fails to eliminate variance at the implementation level. This persistent variance establishes an 'entropy floor,' demonstrating that multiple divergent implementations remain consistent with explicit instructions.

C2weakest assumption

That LLM-generated distributions accurately sample the space of valid implementations and that remaining variance after detailed text is caused by missing tacit knowledge in the description rather than limitations of the models or prompting.

C3one line summary

LLMs prompted with increasing levels of text on TNO spectral reconstruction from photometry reveal an entropy floor where implementation variance persists, showing text alone cannot capture all tacit expert knowledge needed for exact replication.

Receipt and verification

First computed	2026-05-28T02:04:49.345891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98f4f1dd7bd78ea13ac56a286d75b73aa6534d69078b97915a40e7cf3c85f6d4

Aliases

arxiv: 2605.11154 · arxiv_version: 2605.11154v2 · doi: 10.48550/arxiv.2605.11154 · pith_short_12: TD2PDXL326HK · pith_short_16: TD2PDXL326HKCOWF · pith_short_8: TD2PDXL3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TD2PDXL326HKCOWFNIUG25NXHK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 98f4f1dd7bd78ea13ac56a286d75b73aa6534d69078b97915a40e7cf3c85f6d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1fa4ea6bcf7e53d840ac824c931659c89cb861376c0ab1af5faa397aa904a4e",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-05-11T19:00:09Z",
    "title_canon_sha256": "9b48669a9bc0249554fc5aea0c5cd62c907658683247fee0966625212cd7cbe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11154",
    "kind": "arxiv",
    "version": 2
  }
}