Pith Number

pith:VBG443RH

pith:2013:VBG443RHNCD57GXTCNJK7S4JER

not attested not anchored not stored refs pending

The unicity of real Picard-Vessiot fields

Marius van der Put, Teresa Crespo, Zbigniew Hajto

arxiv:1302.1012 v1 · 2013-02-05 · math.AC · math.AG · 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{VBG443RHNCD57GXTCNJK7S4JER}

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	2026-05-18T03:34:26.443641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a84dce6e276887df9af31352afcb892468f1cdd4824bca0301a5eeb43ed8f2f7

Aliases

arxiv: 1302.1012 · arxiv_version: 1302.1012v1 · doi: 10.48550/arxiv.1302.1012 · pith_short_12: VBG443RHNCD5 · pith_short_16: VBG443RHNCD57GXT · pith_short_8: VBG443RH

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/VBG443RHNCD57GXTCNJK7S4JER \
  | 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: a84dce6e276887df9af31352afcb892468f1cdd4824bca0301a5eeb43ed8f2f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a749d372789aa01718855441ba28d13e793d63076cfb8afc9e52b5ab8adf91",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-05T12:36:59Z",
    "title_canon_sha256": "d9e1b3c6e2350985ef5dad7e7932ce8372dbc0b2c58c2672d57eef860de548a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1012",
    "kind": "arxiv",
    "version": 1
  }
}