Pith Number

pith:ZC4CUZZO

pith:2013:ZC4CUZZO5TX46DD7BCYCQK2DSL

not attested not anchored not stored refs pending

Closed symmetric 2-differentials of the 1st kind

Bruno De Oliveira, Fedor Bogomolov

arxiv:1310.0061 v1 · 2013-09-30 · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZC4CUZZO5TX46DD7BCYCQK2DSL}

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	2026-05-18T03:11:45.765770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8b82a672eecefcf0c7f08b0282b4392f91016a237f424f98c493626bf1f8bde

Aliases

arxiv: 1310.0061 · arxiv_version: 1310.0061v1 · doi: 10.48550/arxiv.1310.0061 · pith_short_12: ZC4CUZZO5TX4 · pith_short_16: ZC4CUZZO5TX46DD7 · pith_short_8: ZC4CUZZO

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/ZC4CUZZO5TX46DD7BCYCQK2DSL \
  | 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: c8b82a672eecefcf0c7f08b0282b4392f91016a237f424f98c493626bf1f8bde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75050cc75e2ad35c8e4fa9551d3340377faca614fc12442fde1911c69a0f59f6",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-30T21:23:41Z",
    "title_canon_sha256": "d67e60daf6478bfa1d0845f3cbe913623c66845460b223f9bd461a4493740534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0061",
    "kind": "arxiv",
    "version": 1
  }
}