Pith Number

pith:7TQGDDAK

pith:2015:7TQGDDAKW3FP2OGXLNF6S7EMM4

not attested not anchored not stored refs pending

Marked chain-order polytopes

Ghislain Fourier, Xin Fang

arxiv:1508.02232 v2 · 2015-08-10 · 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{7TQGDDAKW3FP2OGXLNF6S7EMM4}

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	2026-05-18T01:11:18.133391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce0618c0ab6cafd38d75b4be97c8c67197819534d1280abc1dc83351826ebe6

Aliases

arxiv: 1508.02232 · arxiv_version: 1508.02232v2 · doi: 10.48550/arxiv.1508.02232 · pith_short_12: 7TQGDDAKW3FP · pith_short_16: 7TQGDDAKW3FP2OGX · pith_short_8: 7TQGDDAK

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/7TQGDDAKW3FP2OGXLNF6S7EMM4 \
  | 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: fce0618c0ab6cafd38d75b4be97c8c67197819534d1280abc1dc83351826ebe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e88f9ef9bef99672bbef3cf948cdb15fd7067f4ea019ae83e3573bb3fa1dd8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-08-10T13:08:29Z",
    "title_canon_sha256": "2a26c4d1ca095f743875d8b1bf72113042975825f07c9f149b87bb3b4d469ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02232",
    "kind": "arxiv",
    "version": 2
  }
}