Pith Number

pith:FZ7DWAX4

pith:2016:FZ7DWAX4LLJHKF44BIQFU3UPVY

not attested not anchored not stored refs pending

Noncommutative enhancements of contractions

Michael Wemyss, Will Donovan

arxiv:1612.01687 v2 · 2016-12-06 · math.AG · 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{FZ7DWAX4LLJHKF44BIQFU3UPVY}

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	2026-05-17T23:59:53.990644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7e3b02fc5ad275179c0a205a6e8fae138189b3ffd9295a2fc2195cc4fdc5bf

Aliases

arxiv: 1612.01687 · arxiv_version: 1612.01687v2 · doi: 10.48550/arxiv.1612.01687 · pith_short_12: FZ7DWAX4LLJH · pith_short_16: FZ7DWAX4LLJHKF44 · pith_short_8: FZ7DWAX4

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/FZ7DWAX4LLJHKF44BIQFU3UPVY \
  | 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: 2e7e3b02fc5ad275179c0a205a6e8fae138189b3ffd9295a2fc2195cc4fdc5bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614db938e7ffc12144dea56b96985788111799dc025c3fc0aee8e789b8b198d5",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-06T07:09:11Z",
    "title_canon_sha256": "edf6c8084a68ef95fcf066ddc9f5bfa371ec1cce999626da59227ac7a36ae3f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01687",
    "kind": "arxiv",
    "version": 2
  }
}