Pith Number

pith:ITM27DUR

pith:2014:ITM27DUR5HQ7S6QHSTZH3SHY7I

not attested not anchored not stored refs pending

On Lie algebra weight systems for 3-graphs

Alexander Schrijver

arxiv:1412.6923 v1 · 2014-12-22 · 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{ITM27DUR5HQ7S6QHSTZH3SHY7I}

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	2026-05-18T02:30:45.976427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d9af8e91e9e1f97a0794f27dc8f8fa19acb9c172e8a29b8a794bf6e4a7ce23

Aliases

arxiv: 1412.6923 · arxiv_version: 1412.6923v1 · doi: 10.48550/arxiv.1412.6923 · pith_short_12: ITM27DUR5HQ7 · pith_short_16: ITM27DUR5HQ7S6QH · pith_short_8: ITM27DUR

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/ITM27DUR5HQ7S6QHSTZH3SHY7I \
  | 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: 44d9af8e91e9e1f97a0794f27dc8f8fa19acb9c172e8a29b8a794bf6e4a7ce23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b282382947cbe9cc3219acfdfecdf583f8b8bf54da23caec189dbf9e43b2702a",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-12-22T11:04:56Z",
    "title_canon_sha256": "7bbdb61589de210f323da07913d049670f089370852df1a1ec09a116e3bc4df8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6923",
    "kind": "arxiv",
    "version": 1
  }
}