Pith Number

pith:Q5PH7WVY

pith:2012:Q5PH7WVYEZCPRIVQLMGOAWS4QO

not attested not anchored not stored refs pending

Variations on a theorem of Tate

Stefan Patrikis

arxiv:1207.6724 v4 · 2012-07-28 · math.NT · 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{Q5PH7WVYEZCPRIVQLMGOAWS4QO}

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	2026-05-18T02:48:10.171083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

875e7fdab82644f8a2b05b0ce05a5c83b063df46bb8e7b1cda0e1632533a678b

Aliases

arxiv: 1207.6724 · arxiv_version: 1207.6724v4 · doi: 10.48550/arxiv.1207.6724 · pith_short_12: Q5PH7WVYEZCP · pith_short_16: Q5PH7WVYEZCPRIVQ · pith_short_8: Q5PH7WVY

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/Q5PH7WVYEZCPRIVQLMGOAWS4QO \
  | 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: 875e7fdab82644f8a2b05b0ce05a5c83b063df46bb8e7b1cda0e1632533a678b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfff235c5db59f833f247b2a7d55be43635723df7f290d4c7ad469bed04917fc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-28T19:47:52Z",
    "title_canon_sha256": "867adcf5473c0b9d4f1fc7b00dc498f86072d17f7f8a01f287c90c7cf0a11057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6724",
    "kind": "arxiv",
    "version": 4
  }
}