Pith Number

pith:OV4JGUA3

pith:2014:OV4JGUA3KHEVGTYBCQQKWIUUWO

not attested not anchored not stored refs pending

Local structure of closed symmetric 2-differentials

Bruno De Oliveira, Fedor Bogomolov

arxiv:1410.1014 v1 · 2014-10-04 · 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{OV4JGUA3KHEVGTYBCQQKWIUUWO}

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	2026-05-18T02:41:02.985225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

757893501b51c9534f011420ab2294b38839ddb4ebdca99eb8da453346317e68

Aliases

arxiv: 1410.1014 · arxiv_version: 1410.1014v1 · doi: 10.48550/arxiv.1410.1014 · pith_short_12: OV4JGUA3KHEV · pith_short_16: OV4JGUA3KHEVGTYB · pith_short_8: OV4JGUA3

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/OV4JGUA3KHEVGTYBCQQKWIUUWO \
  | 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: 757893501b51c9534f011420ab2294b38839ddb4ebdca99eb8da453346317e68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abc8c81961c1c978a2942e447b45210034cc2544e781a59671d28591e56b456f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-04T03:18:56Z",
    "title_canon_sha256": "24b5974dd4cbafd66768e12339146b221ef04e377f34ac5c36cfddd9c9714868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1014",
    "kind": "arxiv",
    "version": 1
  }
}