Pith Number

pith:TS75IP4Q

pith:2013:TS75IP4QTNY6SVWPF4CTELMRJP

not attested not anchored not stored refs pending

Real and p-adic Picard-Vessiot fields

Marius van der Put, Teresa Crespo, Zbigniew Hajto

arxiv:1307.2388 v2 · 2013-07-09 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TS75IP4QTNY6SVWPF4CTELMRJP}

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	2026-05-18T00:46:21.418074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cbfd43f909b71e956cf2f05322d914bfcf6e385439d4177e73915421f44f1fa

Aliases

arxiv: 1307.2388 · arxiv_version: 1307.2388v2 · doi: 10.48550/arxiv.1307.2388 · pith_short_12: TS75IP4QTNY6 · pith_short_16: TS75IP4QTNY6SVWP · pith_short_8: TS75IP4Q

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/TS75IP4QTNY6SVWPF4CTELMRJP \
  | 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: 9cbfd43f909b71e956cf2f05322d914bfcf6e385439d4177e73915421f44f1fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0a87f0a949bbb1ebb376b2fbdc3755eb55a22c203552ea574c3186129c311b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-09T10:18:31Z",
    "title_canon_sha256": "72e71e4034ae659b09b882be5c9043a217141431c4d073c884f78bee261d251e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2388",
    "kind": "arxiv",
    "version": 2
  }
}