Pith Number

pith:QZ5RTWVY

pith:2025:QZ5RTWVYXEYOFEVW33DZPAOOOT

not attested not anchored not stored refs pending

Crystal skeletons: Combinatorics and axioms

Anne Schilling, Sarah Brauner, Sylvie Corteel, Zajj Daugherty

arxiv:2503.14782 v1 · 2025-03-18 · math.CO · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZ5RTWVYXEYOFEVW33DZPAOOOT}

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	2026-07-05T10:34:24.122355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

867b19dab8b930e292b6dec79781ce74d629c83c52632ac8cb1d32fee3394355

Aliases

arxiv: 2503.14782 · arxiv_version: 2503.14782v1 · doi: 10.48550/arxiv.2503.14782 · pith_short_12: QZ5RTWVYXEYO · pith_short_16: QZ5RTWVYXEYOFEVW · pith_short_8: QZ5RTWVY

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/QZ5RTWVYXEYOFEVW33DZPAOOOT \
  | 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: 867b19dab8b930e292b6dec79781ce74d629c83c52632ac8cb1d32fee3394355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d82244ac76718debb05497d10f137ec9851c1fedf323b1e13134053260621d99",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-18T23:18:43Z",
    "title_canon_sha256": "85abb0dbc658ec5f3a9eae4aba07a9e66256d17d3d5421c4278286676be6434f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.14782",
    "kind": "arxiv",
    "version": 1
  }
}