Pith Number

pith:4BG5O2UL

pith:2000:4BG5O2ULQO7EUD3MUCGEMFZHKE

not attested not anchored not stored refs pending

Sur le th\'eor\`eme de l'indice des \'equations diff\'erentielles p-adiques. III

Gilles Christol, Zoghman Mebkhout

arxiv:math/0003237 v1 · 2000-03-01 · 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{4BG5O2ULQO7EUD3MUCGEMFZHKE}

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	2026-05-18T01:05:38.717732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e04dd76a8b83be4a0f6ca08c46172751157faeef58989591f1f8c7b5c2c19bdb

Aliases

arxiv: math/0003237 · arxiv_version: math/0003237v1 · doi: 10.48550/arxiv.math/0003237 · pith_short_12: 4BG5O2ULQO7E · pith_short_16: 4BG5O2ULQO7EUD3M · pith_short_8: 4BG5O2UL

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/4BG5O2ULQO7EUD3MUCGEMFZHKE \
  | 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: e04dd76a8b83be4a0f6ca08c46172751157faeef58989591f1f8c7b5c2c19bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8001e6723e91a3b97644f26accf3f124e93d1782e24802553d5cec1ccdee80f0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2000-03-01T00:00:00Z",
    "title_canon_sha256": "f2e1e9fa7ed3eca92e6d18a16510b0518681d6ba16bc30e3cce08d8d6b7a0e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0003237",
    "kind": "arxiv",
    "version": 1
  }
}