Pith Number

pith:3V25BULB

pith:2012:3V25BULBZPUHO4UN43WBRUM6T4

not attested not anchored not stored refs pending

Free Curves on Varieties

Frank Gounelas

arxiv:1208.4055 v2 · 2012-08-20 · 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{3V25BULBZPUHO4UN43WBRUM6T4}

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	2026-05-18T01:19:31.102950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd75d0d161cbe877728de6ec18d19e9f2a529aec19d46a4c73c456b6fdb2fcac

Aliases

arxiv: 1208.4055 · arxiv_version: 1208.4055v2 · doi: 10.48550/arxiv.1208.4055 · pith_short_12: 3V25BULBZPUH · pith_short_16: 3V25BULBZPUHO4UN · pith_short_8: 3V25BULB

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/3V25BULBZPUHO4UN43WBRUM6T4 \
  | 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: dd75d0d161cbe877728de6ec18d19e9f2a529aec19d46a4c73c456b6fdb2fcac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "540ba3affaa21ca94f4f286d6c1dfa9bdc9e1ae087d6714fe9e3788e5ddbac03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-20T16:58:17Z",
    "title_canon_sha256": "d2f9131054dc93dace4ef0da9428d0443d09aafbb21e5a47264a0463e3179bd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4055",
    "kind": "arxiv",
    "version": 2
  }
}