Pith Number

pith:YW44P7AX

pith:2011:YW44P7AXD4BE3EG57EM3Q56PJW

not attested not anchored not stored refs pending

Gerstenhaber-Schack diagram cohomology from operadic point of view

Martin Doubek

arxiv:1101.1896 v1 · 2011-01-10 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YW44P7AXD4BE3EG57EM3Q56PJW}

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	2026-05-18T03:04:15.722377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5b9c7fc171f024d90ddf919b877cf4d8675ab34461882ca60bcc672a53f9fe2

Aliases

arxiv: 1101.1896 · arxiv_version: 1101.1896v1 · doi: 10.48550/arxiv.1101.1896 · pith_short_12: YW44P7AXD4BE · pith_short_16: YW44P7AXD4BE3EG5 · pith_short_8: YW44P7AX

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/YW44P7AXD4BE3EG57EM3Q56PJW \
  | 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: c5b9c7fc171f024d90ddf919b877cf4d8675ab34461882ca60bcc672a53f9fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "323f62ecae69cb923e952d0d48739c68f4074d2b82869327c0ed5afefc8d6029",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-01-10T17:29:14Z",
    "title_canon_sha256": "15e747132d590b7ef3a9cc653f8afda80e6a65bce9e8d4abf293ba2a9e08cf5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1896",
    "kind": "arxiv",
    "version": 1
  }
}