Pith Number

pith:5TP3FMK4

pith:2015:5TP3FMK4HWMBCIY46BXQ435ACO

not attested not anchored not stored refs pending

The Gerstenhaber bracket as a Schouten bracket for polynomial rings extended by finite groups

Cris Negron, Sarah Witherspoon

arxiv:1511.02533 v2 · 2015-11-08 · math.QA · math.KT · 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{5TP3FMK4HWMBCIY46BXQ435ACO}

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	2026-05-18T00:39:57.065341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecdfb2b15c3d9811231cf06f0e6fa0139422efceaa7552d1fb3c1e32bd4d20db

Aliases

arxiv: 1511.02533 · arxiv_version: 1511.02533v2 · doi: 10.48550/arxiv.1511.02533 · pith_short_12: 5TP3FMK4HWMB · pith_short_16: 5TP3FMK4HWMBCIY4 · pith_short_8: 5TP3FMK4

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/5TP3FMK4HWMBCIY46BXQ435ACO \
  | 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: ecdfb2b15c3d9811231cf06f0e6fa0139422efceaa7552d1fb3c1e32bd4d20db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89f6c6313d604d9136962863f89fea7acef92280cdbf625fb5d171d279603207",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-11-08T21:49:51Z",
    "title_canon_sha256": "0d945e934088550d0355ac76a7ff7f6f199e8f9acec3243c18a981fc67c417cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02533",
    "kind": "arxiv",
    "version": 2
  }
}