Pith Number

pith:GZTXBUA5

pith:2014:GZTXBUA5WICEIIVAPE4L4MQ37Z

not attested not anchored not stored refs pending

Richard Stanley through a crystal lens and from a random angle

Anne Schilling

arxiv:1405.2966 v2 · 2014-05-12 · 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{GZTXBUA5WICEIIVAPE4L4MQ37Z}

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	2026-05-18T00:49:52.872264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

366770d01db2044422a07938be321bfe7a0e6f29ca2951a3660f9e8ead105b3b

Aliases

arxiv: 1405.2966 · arxiv_version: 1405.2966v2 · doi: 10.48550/arxiv.1405.2966 · pith_short_12: GZTXBUA5WICE · pith_short_16: GZTXBUA5WICEIIVA · pith_short_8: GZTXBUA5

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/GZTXBUA5WICEIIVAPE4L4MQ37Z \
  | 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: 366770d01db2044422a07938be321bfe7a0e6f29ca2951a3660f9e8ead105b3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75f2f111e40667e0b9def1802e047d570e69f08e09db24bda63a1583f89dd1e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-12T21:16:19Z",
    "title_canon_sha256": "8ef3994484c6c8514fc60eacbb08f714d437f547263089f8748fd2ff5c1bb148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2966",
    "kind": "arxiv",
    "version": 2
  }
}