Pith Number

pith:X4IXP32G

pith:2015:X4IXP32GU4FSJN3NJA6ADIVRRB

not attested not anchored not stored refs pending

A new way to evaluate MOY graphs

Louis-Hadrien Robert

arxiv:1512.02370 v3 · 2015-12-08 · math.QA · math.CO · 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{X4IXP32GU4FSJN3NJA6ADIVRRB}

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	2026-05-18T01:20:41.268097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1177ef46a70b24b76d483c01a2b1885caa60a2146e45bc6d1129c68e04485b

Aliases

arxiv: 1512.02370 · arxiv_version: 1512.02370v3 · doi: 10.48550/arxiv.1512.02370 · pith_short_12: X4IXP32GU4FS · pith_short_16: X4IXP32GU4FSJN3N · pith_short_8: X4IXP32G

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/X4IXP32GU4FSJN3NJA6ADIVRRB \
  | 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: bf1177ef46a70b24b76d483c01a2b1885caa60a2146e45bc6d1129c68e04485b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f51299ab4fd302dc01f68bcafa4e71e6f68b6f361a0a1c4cc1adb62fcc946ac",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-12-08T08:58:59Z",
    "title_canon_sha256": "ceb10bd14c2b782182911ec8332a928d24cfb937bbede6a8e81a3f9376cea3cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02370",
    "kind": "arxiv",
    "version": 3
  }
}