Pith Number

pith:FMTGTFB4

pith:2016:FMTGTFB4FTL2P62NVCXNJID36T

not attested not anchored not stored refs pending

Local-global principles for Weil-Ch\^atelet divisibility in positive characteristic

Brendan Creutz, Jos\'e Felipe Voloch

arxiv:1608.01371 v2 · 2016-08-03 · 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{FMTGTFB4FTL2P62NVCXNJID36T}

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	2026-05-18T00:33:23.259643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b2669943c2cd7a7fb4da8aed4a07bf4fe0e1b267bc4ed1e40c1fee3b112fba5

Aliases

arxiv: 1608.01371 · arxiv_version: 1608.01371v2 · doi: 10.48550/arxiv.1608.01371 · pith_short_12: FMTGTFB4FTL2 · pith_short_16: FMTGTFB4FTL2P62N · pith_short_8: FMTGTFB4

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/FMTGTFB4FTL2P62NVCXNJID36T \
  | 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: 2b2669943c2cd7a7fb4da8aed4a07bf4fe0e1b267bc4ed1e40c1fee3b112fba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4087bbee380890517e27e2070f6105acdfd373ca73da5c6c7587d8b148871513",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-03T21:57:44Z",
    "title_canon_sha256": "eca971dbe13c36e68e2722fb50cbe2d5250a1ef8b215f8d4afe5ad546313d122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01371",
    "kind": "arxiv",
    "version": 2
  }
}