Pith Number

pith:3E65R44R

pith:2012:3E65R44RA6STY6XAM723FYKTQM

not attested not anchored not stored refs pending

Smooth curves specialize to extremal curves

Enrico Schlesinger, Paolo Lella, Robin Hartshorne

arxiv:1207.4588 v2 · 2012-07-19 · 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{3E65R44RA6STY6XAM723FYKTQM}

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	2026-05-18T02:41:26.367204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93dd8f39107a53c7ae067f5b2e1538303afe7e43362617139ee8549dc97bc43

Aliases

arxiv: 1207.4588 · arxiv_version: 1207.4588v2 · doi: 10.48550/arxiv.1207.4588 · pith_short_12: 3E65R44RA6ST · pith_short_16: 3E65R44RA6STY6XA · pith_short_8: 3E65R44R

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/3E65R44RA6STY6XAM723FYKTQM \
  | 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: d93dd8f39107a53c7ae067f5b2e1538303afe7e43362617139ee8549dc97bc43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e76c2c4a5aa4a9a72530a1bbe3d3d94c2a690e7eb0b412e312cacef5c81cc4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-19T09:19:39Z",
    "title_canon_sha256": "a1e6fc785820839ee38d0116dbd13e6aa7accfdc32b22d76bc64e9ae74f73b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4588",
    "kind": "arxiv",
    "version": 2
  }
}