Pith Number

pith:JYXNVX3J

pith:2010:JYXNVX3JWDW5TB2IW7FAQRDH4G

not attested not anchored not stored refs pending

Calabi-Yau coalgebras

B. Torrecillas, F. van Oystaeyen, J.-W. He, Y. Zhang

arxiv:1010.1055 v2 · 2010-10-06 · 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{JYXNVX3JWDW5TB2IW7FAQRDH4G}

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	2026-05-18T04:39:49.055065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e2edadf69b0edd98748b7ca084467e192952049c159851d6bea366acd725896

Aliases

arxiv: 1010.1055 · arxiv_version: 1010.1055v2 · doi: 10.48550/arxiv.1010.1055 · pith_short_12: JYXNVX3JWDW5 · pith_short_16: JYXNVX3JWDW5TB2I · pith_short_8: JYXNVX3J

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/JYXNVX3JWDW5TB2IW7FAQRDH4G \
  | 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: 4e2edadf69b0edd98748b7ca084467e192952049c159851d6bea366acd725896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb58ad4f2015a140f627ff99d41b24e21438cb08503289c95d9e749470e5525a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-10-06T03:17:05Z",
    "title_canon_sha256": "ea049539346e113987d4ff6e8757f8dd8ade4f2e68859b79b2937f4e68b7fc13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1055",
    "kind": "arxiv",
    "version": 2
  }
}