Pith Number

pith:5ZVF2SNZ

pith:1998:5ZVF2SNZBZVI2SSCIYMD7OUYI2

not attested not anchored not stored refs pending

A sheaf-theoretic reformulation of the Tate conjecture

Bruno Kahn

arxiv:math/9801017 v1 · 1998-01-06 · math.AG · 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{5ZVF2SNZBZVI2SSCIYMD7OUYI2}

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	2026-05-18T01:05:34.442753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee6a5d49b90e6a8d4a4246183fba9846a8ee21115bd332a8b66be4604fe5f4ab

Aliases

arxiv: math/9801017 · arxiv_version: math/9801017v1 · doi: 10.48550/arxiv.math/9801017 · pith_short_12: 5ZVF2SNZBZVI · pith_short_16: 5ZVF2SNZBZVI2SSC · pith_short_8: 5ZVF2SNZ

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/5ZVF2SNZBZVI2SSCIYMD7OUYI2 \
  | 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: ee6a5d49b90e6a8d4a4246183fba9846a8ee21115bd332a8b66be4604fe5f4ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e398130d9db4b788c18d89bd4e0051124975db7d440bcc0549386b3b9dbcb414",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-01-06T22:49:33Z",
    "title_canon_sha256": "be19ddcd507d7770e0f4bdeef6a3e1cc040a275a7f2d90c2e972fae564978abf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9801017",
    "kind": "arxiv",
    "version": 1
  }
}