Pith Number

pith:WFB7AIEI

pith:2011:WFB7AIEIVFOFJ4C32HCRBZ443H

not attested not anchored not stored refs pending

Descent for differential Galois theory of difference equations. Confluence and q-dependency

Charlotte Hardouin, Lucia Di Vizio

arxiv:1103.5067 v2 · 2011-03-25 · math.QA · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFB7AIEIVFOFJ4C32HCRBZ443H}

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	2026-05-18T04:07:19.684475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b143f02088a95c54f05bd1c510e79cd9d9e59e7d93a373b18fc734949c00e7de

Aliases

arxiv: 1103.5067 · arxiv_version: 1103.5067v2 · doi: 10.48550/arxiv.1103.5067 · pith_short_12: WFB7AIEIVFOF · pith_short_16: WFB7AIEIVFOFJ4C3 · pith_short_8: WFB7AIEI

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/WFB7AIEIVFOFJ4C32HCRBZ443H \
  | 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: b143f02088a95c54f05bd1c510e79cd9d9e59e7d93a373b18fc734949c00e7de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a091014e3bd75c2a4a0ded7b13e8859701a4a040b1c9e805da75bfc52813cf5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-03-25T19:21:49Z",
    "title_canon_sha256": "f0d5d3bf493c10275ab634fded21cd9fa910cba795add3c6ce83c2183db6127e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5067",
    "kind": "arxiv",
    "version": 2
  }
}