Pith Number

pith:NRNLOPY7

pith:2012:NRNLOPY74WNOZJRQNHDOKC4LAF

not attested not anchored not stored refs pending

Calabi-Yau Nichols algebras of Hecke type

Xiaolan Yu, Yinhuo Zhang

arxiv:1212.4289 v1 · 2012-12-18 · math.QA · 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{NRNLOPY74WNOZJRQNHDOKC4LAF}

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	2026-05-18T03:38:13.401041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c5ab73f1fe59aeca63069c6e50b8b01728dcff9e8a0daeb6e6415092f213af5

Aliases

arxiv: 1212.4289 · arxiv_version: 1212.4289v1 · doi: 10.48550/arxiv.1212.4289 · pith_short_12: NRNLOPY74WNO · pith_short_16: NRNLOPY74WNOZJRQ · pith_short_8: NRNLOPY7

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/NRNLOPY74WNOZJRQNHDOKC4LAF \
  | 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: 6c5ab73f1fe59aeca63069c6e50b8b01728dcff9e8a0daeb6e6415092f213af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "813a4f867dc51fd20b39cbd0f2aa72469940dde627d452fc30e8781848a98808",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-12-18T10:15:35Z",
    "title_canon_sha256": "26cb847fe08c3842bab8dd68beb3f7e5fe93b9f39ea5541570b66b4844e497d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4289",
    "kind": "arxiv",
    "version": 1
  }
}