Pith Number

pith:R3JAYFKU

pith:2002:R3JAYFKUBF3UYKEURR2H67KZK5

not attested not anchored not stored refs pending

Generalized Serre--Tate Ordinary Theory

Adrian Vasiu (Binghamton University, U.S.A.)

arxiv:math/0208216 v5 · 2002-08-28 · 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{R3JAYFKUBF3UYKEURR2H67KZK5}

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	2026-05-18T03:56:35.590032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ed20c155409774c28948c747f7d59574e8b9189275247eb43134d526c5cd32a

Aliases

arxiv: math/0208216 · arxiv_version: math/0208216v5 · doi: 10.48550/arxiv.math/0208216 · pith_short_12: R3JAYFKUBF3U · pith_short_16: R3JAYFKUBF3UYKEU · pith_short_8: R3JAYFKU

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/R3JAYFKUBF3UYKEURR2H67KZK5 \
  | 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: 8ed20c155409774c28948c747f7d59574e8b9189275247eb43134d526c5cd32a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dadda158317c092c5014f74987e35a15ff9c6beaf20c9219628e9d37790e8049",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2002-08-28T00:03:50Z",
    "title_canon_sha256": "d7109bfd2d789657a212418b35a75eef2a0b0124534c2bc1c560537f02e8ca9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208216",
    "kind": "arxiv",
    "version": 5
  }
}