Pith Number

pith:ECB2NYA4

pith:2011:ECB2NYA4BTB4VGAAMC4NI3HHFO

not attested not anchored not stored refs pending

The Catanese-Ciliberto-Mendes Lopes surface

Selman Akbulut

arxiv:1101.3036 v2 · 2011-01-16 · math.GT · 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{ECB2NYA4BTB4VGAAMC4NI3HHFO}

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	2026-05-18T02:22:57.120912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2083a6e01c0cc3ca980060b8d46ce72ba9a665070bc1cc0d0a1f163a14e2dc21

Aliases

arxiv: 1101.3036 · arxiv_version: 1101.3036v2 · doi: 10.48550/arxiv.1101.3036 · pith_short_12: ECB2NYA4BTB4 · pith_short_16: ECB2NYA4BTB4VGAA · pith_short_8: ECB2NYA4

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/ECB2NYA4BTB4VGAAMC4NI3HHFO \
  | 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: 2083a6e01c0cc3ca980060b8d46ce72ba9a665070bc1cc0d0a1f163a14e2dc21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f34aec0a38f788e62f298d175a071d20cce855d91ca3140dbfd8e38419139ab",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-16T01:36:01Z",
    "title_canon_sha256": "477f0603b394608247215c39e9caf2e43cb33f7c682376a89925a49fe1dafce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3036",
    "kind": "arxiv",
    "version": 2
  }
}