Pith Number

pith:U7WIE4FM

pith:2010:U7WIE4FMXAD2LWZ3SUKDKNIUGF

not attested not anchored not stored refs pending

Potential automorphy and change of weight

David Geraghty, Richard Taylor, Thomas Barnet-Lamb, Toby Gee

arxiv:1010.2561 v4 · 2010-10-13 · 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{U7WIE4FMXAD2LWZ3SUKDKNIUGF}

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	2026-05-18T03:05:19.192548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7ec8270acb807a5db3b95143535143176091df62d7e18f2a8a7716b8603e826

Aliases

arxiv: 1010.2561 · arxiv_version: 1010.2561v4 · doi: 10.48550/arxiv.1010.2561 · pith_short_12: U7WIE4FMXAD2 · pith_short_16: U7WIE4FMXAD2LWZ3 · pith_short_8: U7WIE4FM

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/U7WIE4FMXAD2LWZ3SUKDKNIUGF \
  | 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: a7ec8270acb807a5db3b95143535143176091df62d7e18f2a8a7716b8603e826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa47b5d4821cde34bdd70ec83d89509c299a8237e0abc6c52680431296003d8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-13T03:11:30Z",
    "title_canon_sha256": "08a699eeac8e0a8f69d3b0ee31cc83cd1a8fb8c3b6df8520392ca6d3d7d46010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2561",
    "kind": "arxiv",
    "version": 4
  }
}