Pith Number

pith:3DCOT4OM

pith:2009:3DCOT4OMCU5MQCL5FVLKJORBTK

not attested not anchored not stored refs pending

Free resolutions via Gr\"obner bases

Anton Khoroshkin, Vladimir Dotsenko

arxiv:0912.4895 v4 · 2009-12-24 · math.KT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DCOT4OMCU5MQCL5FVLKJORBTK}

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	2026-05-18T04:22:29.835296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8c4e9f1cc153ac8097d2d56a4ba219ab43aec9fe381c9b7a752d065ba11b8cb

Aliases

arxiv: 0912.4895 · arxiv_version: 0912.4895v4 · doi: 10.48550/arxiv.0912.4895 · pith_short_12: 3DCOT4OMCU5M · pith_short_16: 3DCOT4OMCU5MQCL5 · pith_short_8: 3DCOT4OM

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/3DCOT4OMCU5MQCL5FVLKJORBTK \
  | 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: d8c4e9f1cc153ac8097d2d56a4ba219ab43aec9fe381c9b7a752d065ba11b8cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "343217ca122ab49d235afafbc90e46803a541abf5c38fa34a18bfa2b9fc1a42f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2009-12-24T18:34:07Z",
    "title_canon_sha256": "0456c0f57a873fda4d79ffd44fb8fa38580c0ce9dadfce88279041b37699b3d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4895",
    "kind": "arxiv",
    "version": 4
  }
}