Pith Number

pith:WROGJCNT

pith:2014:WROGJCNTYWCMFBT62L7BPTUGQ6

not attested not anchored not stored refs pending

Operadic comodules and (co)homology theories

James Griffin

arxiv:1403.4831 v1 · 2014-03-19 · math.RA · 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{WROGJCNTYWCMFBT62L7BPTUGQ6}

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	2026-05-18T02:56:04.376098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b45c6489b3c584c2867ed2fe17ce86879efa97c369544ddaf2d2fd1c11dd76c0

Aliases

arxiv: 1403.4831 · arxiv_version: 1403.4831v1 · doi: 10.48550/arxiv.1403.4831 · pith_short_12: WROGJCNTYWCM · pith_short_16: WROGJCNTYWCMFBT6 · pith_short_8: WROGJCNT

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/WROGJCNTYWCMFBT62L7BPTUGQ6 \
  | 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: b45c6489b3c584c2867ed2fe17ce86879efa97c369544ddaf2d2fd1c11dd76c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a45b6e1525138e31dc956ad549eb30b824e32bbd591960ff43afdc0d99f2bb8",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-03-19T14:58:23Z",
    "title_canon_sha256": "33ec18d4e72761bf84407777318b522efb2c1b39ad04da2975a8a1feefa83cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4831",
    "kind": "arxiv",
    "version": 1
  }
}