Pith Number

pith:VPG7VFAH

pith:2013:VPG7VFAHTYNDZRSR7IS5ACK6F6

not attested not anchored not stored refs pending

Frobenius gauges and a new theory of p-torsion sheaves in characteristic p. I

Jean-Marc Fontaine, Uwe Jannsen

arxiv:1304.3740 v1 · 2013-04-12 · 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{VPG7VFAHTYNDZRSR7IS5ACK6F6}

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	2026-05-18T03:28:04.556426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abcdfa94079e1a3cc651fa25d0095e2fb221c06641ded6250e7691ffd894ec0f

Aliases

arxiv: 1304.3740 · arxiv_version: 1304.3740v1 · doi: 10.48550/arxiv.1304.3740 · pith_short_12: VPG7VFAHTYND · pith_short_16: VPG7VFAHTYNDZRSR · pith_short_8: VPG7VFAH

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/VPG7VFAHTYNDZRSR7IS5ACK6F6 \
  | 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: abcdfa94079e1a3cc651fa25d0095e2fb221c06641ded6250e7691ffd894ec0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94045b815eaef1a714133c83ade0c64d2bad88b74579de3102766a4604657371",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-12T21:53:58Z",
    "title_canon_sha256": "6beb5f83850a824265e3fe9e367d7affde5639beef02c5b9d39370cbe30967f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3740",
    "kind": "arxiv",
    "version": 1
  }
}