Pith Number

pith:CQ44CNXE

pith:2012:CQ44CNXEILX7JWIE4XC73UDW4G

not attested not anchored not stored refs pending

On real anti-bicanonical curves with one double point on the 4-th real Hirzebruch surface

Sachiko Saito

arxiv:1209.3359 v5 · 2012-09-15 · math.AG · math-ph · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQ44CNXEILX7JWIE4XC73UDW4G}

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	2026-05-18T02:28:48.431670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1439c136e442eff4d904e5c5fdd076e180c2037538823bb1f967ef0a3abac380

Aliases

arxiv: 1209.3359 · arxiv_version: 1209.3359v5 · doi: 10.48550/arxiv.1209.3359 · pith_short_12: CQ44CNXEILX7 · pith_short_16: CQ44CNXEILX7JWIE · pith_short_8: CQ44CNXE

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/CQ44CNXEILX7JWIE4XC73UDW4G \
  | 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: 1439c136e442eff4d904e5c5fdd076e180c2037538823bb1f967ef0a3abac380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a445e04ee72bfec550f1b1448c9ccb4cacc2aaaea308d00638873b71f1052e",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-15T06:44:40Z",
    "title_canon_sha256": "ffaa0edf36b3bd485dc8cf78981dca8419c714e521ccdb25f34ec71c4e3ce472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3359",
    "kind": "arxiv",
    "version": 5
  }
}