Pith Number

pith:2ATWWPGO

pith:2001:2ATWWPGOBGYLQB6VEJQ3CU6WZW

not attested not anchored not stored refs pending

Integrals, quantum Galois extensions and the affineness criterion for quantum Yetter-Drinfel'd modules

C. Menini, G. Militaru

arxiv:math/0106067 v1 · 2001-06-10 · 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{2ATWWPGOBGYLQB6VEJQ3CU6WZW}

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	2026-05-18T02:56:12.965407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0276b3cce09b0b807d52261b153d6cda939563e0146fb77d00ee92ee65a4f35

Aliases

arxiv: math/0106067 · arxiv_version: math/0106067v1 · doi: 10.48550/arxiv.math/0106067 · pith_short_12: 2ATWWPGOBGYL · pith_short_16: 2ATWWPGOBGYLQB6V · pith_short_8: 2ATWWPGO

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/2ATWWPGOBGYLQB6VEJQ3CU6WZW \
  | 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: d0276b3cce09b0b807d52261b153d6cda939563e0146fb77d00ee92ee65a4f35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98ded56f3ec5dd831fc86a2de85562324a4b5ef49c0e228013b8a62f4ec19fc8",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-06-10T08:04:32Z",
    "title_canon_sha256": "2fd5794432c937df814963d6bd20814e7758d627e1bff1a9acdc346d6416bbc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106067",
    "kind": "arxiv",
    "version": 1
  }
}