Pith Number

pith:JW4E4HAZ

pith:2012:JW4E4HAZ2E5S7N3BIXIQ4NZOHF

not attested not anchored not stored refs pending

Explicit Chabauty-Kim theory for the thrice punctured line in depth two

Ishai Dan-Cohen, Stefan Wewers

arxiv:1209.0276 v2 · 2012-09-03 · 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{JW4E4HAZ2E5S7N3BIXIQ4NZOHF}

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	2026-05-18T00:44:30.276984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db84e1c19d13b2fb76145d10e372e397941031a0ed5776ec9b1fad90ee022ac

Aliases

arxiv: 1209.0276 · arxiv_version: 1209.0276v2 · doi: 10.48550/arxiv.1209.0276 · pith_short_12: JW4E4HAZ2E5S · pith_short_16: JW4E4HAZ2E5S7N3B · pith_short_8: JW4E4HAZ

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/JW4E4HAZ2E5S7N3BIXIQ4NZOHF \
  | 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: 4db84e1c19d13b2fb76145d10e372e397941031a0ed5776ec9b1fad90ee022ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb90f5f7eb4de05b1ef9f1275433bf8e6fd32f1a863b5beb43107ed6a7a758c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-03T09:03:24Z",
    "title_canon_sha256": "325fb439247845821c5d5a169480deb39e8d6960608402a471fae53c554d3e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0276",
    "kind": "arxiv",
    "version": 2
  }
}