Pith Number

pith:34BQBKFI

pith:2024:34BQBKFICQTYS42R2O7XKVAKP4

not attested not anchored not stored refs pending

A compact group lens modeled with GIGA-Lens: Enhanced inference for complex systems

E. Jullo, F. Urcelay, J. Hernandez, L. F. Barrientos, X. Huang

arxiv:2412.04567 v1 · 2024-12-05 · astro-ph.CO · astro-ph.GA · astro-ph.IM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34BQBKFICQTYS42R2O7XKVAKP4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-07-05T10:09:13.146419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df0300a8a81427897351d3bf75540a7f3c9660385f21ac3792dd3c9b131c6228

Aliases

arxiv: 2412.04567 · arxiv_version: 2412.04567v1 · doi: 10.48550/arxiv.2412.04567 · pith_short_12: 34BQBKFICQTY · pith_short_16: 34BQBKFICQTYS42R · pith_short_8: 34BQBKFI

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/34BQBKFICQTYS42R2O7XKVAKP4 \
  | 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: df0300a8a81427897351d3bf75540a7f3c9660385f21ac3792dd3c9b131c6228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5811f020fcbfd1e5601d19a150df7402eaa555e7a9f0de60fff3f0043f6b798d",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.IM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-12-05T19:21:52Z",
    "title_canon_sha256": "c4cc0ba69bdec8257c1fdfe2b0b2193df9d968a2aee6ab86a999e4188d33a8f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04567",
    "kind": "arxiv",
    "version": 1
  }
}