Pith Number

pith:AJMWC5W2

pith:2012:AJMWC5W2HYY5R4QYRUT73BOWMW

not attested not anchored not stored refs pending

Z/2Z-extensions of Hopf algebra module categories by their base categories

Alexei Davydov, Ingo Runkel

arxiv:1207.3611 v2 · 2012-07-16 · math.QA · hep-th · 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{AJMWC5W2HYY5R4QYRUT73BOWMW}

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	2026-05-18T03:15:21.097209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02596176da3e31d8f2188d27fd85d665a53d1f7e00e2b387a940fd6d21451967

Aliases

arxiv: 1207.3611 · arxiv_version: 1207.3611v2 · doi: 10.48550/arxiv.1207.3611 · pith_short_12: AJMWC5W2HYY5 · pith_short_16: AJMWC5W2HYY5R4QY · pith_short_8: AJMWC5W2

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/AJMWC5W2HYY5R4QYRUT73BOWMW \
  | 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: 02596176da3e31d8f2188d27fd85d665a53d1f7e00e2b387a940fd6d21451967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6b9faac884314468db94ee155ee8312abd67957540f54c954535915cb512627",
    "cross_cats_sorted": [
      "hep-th",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-07-16T09:53:37Z",
    "title_canon_sha256": "39015b69ee97633354ee1612cac0cba0549652da6f7ba51df5320b6952a46f31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3611",
    "kind": "arxiv",
    "version": 2
  }
}