Pith Number

pith:ONCCU73F

pith:2011:ONCCU73FZKQXXFYUPJL2XLRM3L

not attested not anchored not stored refs pending

Abel maps and limit linear series

Brian Osserman, Eduardo Esteves

arxiv:1102.3191 v1 · 2011-02-15 · 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{ONCCU73FZKQXXFYUPJL2XLRM3L}

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	2026-05-18T04:28:36.881061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73442a7f65caa17b97147a57abae2cdaf3e12f20007d2b25388f4af550030703

Aliases

arxiv: 1102.3191 · arxiv_version: 1102.3191v1 · doi: 10.48550/arxiv.1102.3191 · pith_short_12: ONCCU73FZKQX · pith_short_16: ONCCU73FZKQXXFYU · pith_short_8: ONCCU73F

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/ONCCU73FZKQXXFYUPJL2XLRM3L \
  | 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: 73442a7f65caa17b97147a57abae2cdaf3e12f20007d2b25388f4af550030703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b281bbe7535cb18072d7179194b222d6006530b0de6275021e47a63394cdee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-15T21:16:44Z",
    "title_canon_sha256": "4e1d0ae8ba6f7c63473a424b8de1388c08403571dd0936e4766daebbe18bd1af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3191",
    "kind": "arxiv",
    "version": 1
  }
}