Pith Number

pith:LFO7NII5

pith:2025:LFO7NII553L5XOLZVVSFXV34YM

not attested not anchored not stored refs pending

Unveiling Crystal Embeddings: New Perspectives on String Polytopes and Atomic Decompositions

Jacinta Torres, Lara Bossinger

arxiv:2505.22127 v1 · 2025-05-28 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFO7NII553L5XOLZVVSFXV34YM}

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	2026-07-05T11:11:10.396499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

595df6a11deed7dbb979ad645bd77cc31c9251007e0b65a9a3f9cc679f480577

Aliases

arxiv: 2505.22127 · arxiv_version: 2505.22127v1 · doi: 10.48550/arxiv.2505.22127 · pith_short_12: LFO7NII553L5 · pith_short_16: LFO7NII553L5XOLZ · pith_short_8: LFO7NII5

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/LFO7NII553L5XOLZVVSFXV34YM \
  | 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: 595df6a11deed7dbb979ad645bd77cc31c9251007e0b65a9a3f9cc679f480577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce250df97a5b5eabf3621c1aaf9e0efca076d9ddf5da3c648d84777421326ce",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-05-28T08:51:32Z",
    "title_canon_sha256": "716418cb5a88444b65700a41e23a1d0d3538052c620d22b3c6ca10d9ef1c1898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22127",
    "kind": "arxiv",
    "version": 1
  }
}