Pith Number

pith:F7IMGKRU

pith:2012:F7IMGKRUSAWJY4ISANIMROIFNQ

not attested not anchored not stored refs pending

The double ramification cycle and the theta divisor

Dmitry Zakharov, Samuel Grushevsky

arxiv:1206.7001 v1 · 2012-06-29 · 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{F7IMGKRUSAWJY4ISANIMROIFNQ}

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	2026-05-18T03:52:13.278415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd0c32a34902c9c71120350c8b9056c25e49a277da98758b8060dfd37d6e02b

Aliases

arxiv: 1206.7001 · arxiv_version: 1206.7001v1 · doi: 10.48550/arxiv.1206.7001 · pith_short_12: F7IMGKRUSAWJ · pith_short_16: F7IMGKRUSAWJY4IS · pith_short_8: F7IMGKRU

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/F7IMGKRUSAWJY4ISANIMROIFNQ \
  | 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: 2fd0c32a34902c9c71120350c8b9056c25e49a277da98758b8060dfd37d6e02b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f579b9bae53a7fbf53bac110c2ee6f532bf5081433714554b6f8c64bf419984e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-29T12:32:31Z",
    "title_canon_sha256": "dd1b7b25a78619344ae28733801a188ae5f0f7fb9bef26460bc301f2b7d79c47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.7001",
    "kind": "arxiv",
    "version": 1
  }
}