Pith Number

pith:GVMVAWWN

pith:2012:GVMVAWWNZIG7MIVWSVEMYV6JD3

not attested not anchored not stored refs pending

Quillen homology for operads via Gr\"obner bases

Anton Khoroshkin, Vladimir Dotsenko

arxiv:1203.5053 v3 · 2012-03-22 · math.KT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVMVAWWNZIG7MIVWSVEMYV6JD3}

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	2026-05-18T00:50:43.365358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3559505acdca0df622b69548cc57c91ee15ebcdf6d03be8ce46580913f495013

Aliases

arxiv: 1203.5053 · arxiv_version: 1203.5053v3 · doi: 10.48550/arxiv.1203.5053 · pith_short_12: GVMVAWWNZIG7 · pith_short_16: GVMVAWWNZIG7MIVW · pith_short_8: GVMVAWWN

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/GVMVAWWNZIG7MIVWSVEMYV6JD3 \
  | 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: 3559505acdca0df622b69548cc57c91ee15ebcdf6d03be8ce46580913f495013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eafb0b1b69feb9bc6503ed6b038a5eb4475cc790cab27a3511e357267c556b4",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-03-22T17:48:52Z",
    "title_canon_sha256": "face1121be3beb5624eb97d215503345c805227edd91d5a5daeaabfc5ecd05e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5053",
    "kind": "arxiv",
    "version": 3
  }
}