Pith Number

pith:2XSXOKZL

pith:2013:2XSXOKZL6CJRZJLWJUXN7UCLHF

not attested not anchored not stored refs pending

Sweedler Theory for (co)algebras and the bar-cobar constructions

Andr\'e Joyal, Matthieu Anel

arxiv:1309.6952 v1 · 2013-09-26 · math.CT · math.AT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XSXOKZL6CJRZJLWJUXN7UCLHF}

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	2026-05-18T03:12:09.644605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5e5772b2bf0931ca5764d2edfd04b397668b74d6dfdf903fef51cd0ea4b9664

Aliases

arxiv: 1309.6952 · arxiv_version: 1309.6952v1 · doi: 10.48550/arxiv.1309.6952 · pith_short_12: 2XSXOKZL6CJR · pith_short_16: 2XSXOKZL6CJRZJLW · pith_short_8: 2XSXOKZL

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/2XSXOKZL6CJRZJLWJUXN7UCLHF \
  | 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: d5e5772b2bf0931ca5764d2edfd04b397668b74d6dfdf903fef51cd0ea4b9664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "398a58c0f9e26475a2f365ebb3ef994710e4dedcc667d6f4ca89ea25b3be1b99",
    "cross_cats_sorted": [
      "math.AT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-09-26T16:07:42Z",
    "title_canon_sha256": "37becbd2e644c41cddb3bf6e42e383fbd0c93a362c4b8b311649e14e780f5818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6952",
    "kind": "arxiv",
    "version": 1
  }
}