Pith Number

pith:AVJBR4LX

pith:2016:AVJBR4LXT5ZKXJXRYC2WGUZJSK

not attested not anchored not stored refs pending

Varieties for modules of finite dimensional Hopf algebras

Sarah Witherspoon

arxiv:1612.00857 v1 · 2016-12-02 · math.RT · 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{AVJBR4LXT5ZKXJXRYC2WGUZJSK}

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	2026-05-18T00:55:53.964233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

055218f1779f72aba6f1c0b5635329928d20bcf33dd5e9cf2b36121bc29db7b6

Aliases

arxiv: 1612.00857 · arxiv_version: 1612.00857v1 · doi: 10.48550/arxiv.1612.00857 · pith_short_12: AVJBR4LXT5ZK · pith_short_16: AVJBR4LXT5ZKXJXR · pith_short_8: AVJBR4LX

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/AVJBR4LXT5ZKXJXRYC2WGUZJSK \
  | 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: 055218f1779f72aba6f1c0b5635329928d20bcf33dd5e9cf2b36121bc29db7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92cc70be550bb6c4ccc25d66007d96a7a1284f5d246cb01e99659893c107b27b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-02T21:01:19Z",
    "title_canon_sha256": "4d7a087dac448721e16b4aa620f3010b8a48173a3bf9e2e94a97ebd43ba4cdfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00857",
    "kind": "arxiv",
    "version": 1
  }
}