Pith Number

pith:NZVTVKJN

pith:2010:NZVTVKJNZABTYG4PPZ73PZ2YJ7

not attested not anchored not stored refs pending

Limits of Coalgebras, Bialgebras and Hopf Algebras

A.L. Agore

arxiv:1003.0318 v2 · 2010-03-01 · math.QA · 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{NZVTVKJNZABTYG4PPZ73PZ2YJ7}

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	2026-05-18T02:58:31.037838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e6b3aa92dc8033c1b8f7e7fb7e7584fc3d3e1b95e918964e5419e95aa3bc3ef

Aliases

arxiv: 1003.0318 · arxiv_version: 1003.0318v2 · doi: 10.48550/arxiv.1003.0318 · pith_short_12: NZVTVKJNZABT · pith_short_16: NZVTVKJNZABTYG4P · pith_short_8: NZVTVKJN

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/NZVTVKJNZABTYG4PPZ73PZ2YJ7 \
  | 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: 6e6b3aa92dc8033c1b8f7e7fb7e7584fc3d3e1b95e918964e5419e95aa3bc3ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a321675f9dd98079541a1f9798f3ce3cc952d87ebce9ac3606a1ac6782639a90",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-03-01T16:38:28Z",
    "title_canon_sha256": "e86b442fe4e59af206e013b883df748b0e7eb0fa825f0971ef3353a410425194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0318",
    "kind": "arxiv",
    "version": 2
  }
}