Pith Number

pith:SOVAQBP3

pith:2003:SOVAQBP34XQLK3RO4S7SMJ6KYV

not attested not anchored not stored refs pending

Symmetric coalgebras

C. Nastasescu, F. Casta\~no Iglesias, S. Dascalescu

arxiv:math/0311003 v1 · 2003-11-01 · 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{SOVAQBP34XQLK3RO4S7SMJ6KYV}

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	2026-05-18T01:08:59.771252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93aa0805fbe5e0b56e2ee4bf2627cac57b968551c2f1f8c16ebcac263dddb99b

Aliases

arxiv: math/0311003 · arxiv_version: math/0311003v1 · doi: 10.48550/arxiv.math/0311003 · pith_short_12: SOVAQBP34XQL · pith_short_16: SOVAQBP34XQLK3RO · pith_short_8: SOVAQBP3

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/SOVAQBP34XQLK3RO4S7SMJ6KYV \
  | 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: 93aa0805fbe5e0b56e2ee4bf2627cac57b968551c2f1f8c16ebcac263dddb99b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa7d92dc26f62eaf190950aa23f01c53a1a41ade85a25fd7d9297e26ec390c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-11-01T08:38:44Z",
    "title_canon_sha256": "b33039c1117146a9084bfb72d373a3acda53f6bdef247e2ff16e39b1f9f08fd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311003",
    "kind": "arxiv",
    "version": 1
  }
}