Pith Number

pith:ADOQ7NQN

pith:2014:ADOQ7NQNWKMILUC7TPJZ4MLCSK

not attested not anchored not stored refs pending

Remarks on Ruled surfaces and rank two bundles with canonical determinant and 4 sections

Abel Castorena, Graciela Reyes-Ahumada

arxiv:1411.4155 v2 · 2014-11-15 · 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{ADOQ7NQNWKMILUC7TPJZ4MLCSK}

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	2026-05-18T02:20:28.500544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00dd0fb60db29885d05f9bd39e316292a07a7527129e04fff1c7d993305da9cc

Aliases

arxiv: 1411.4155 · arxiv_version: 1411.4155v2 · doi: 10.48550/arxiv.1411.4155 · pith_short_12: ADOQ7NQNWKMI · pith_short_16: ADOQ7NQNWKMILUC7 · pith_short_8: ADOQ7NQN

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/ADOQ7NQNWKMILUC7TPJZ4MLCSK \
  | 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: 00dd0fb60db29885d05f9bd39e316292a07a7527129e04fff1c7d993305da9cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4a6e6248e513a99578a2c9d29635ef1d297805296abcd97f28a27db39a82c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-15T15:22:57Z",
    "title_canon_sha256": "1d6e1132a5385088274e521a2a68c149f1ff0b463f1f209845f589e2a434f2f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4155",
    "kind": "arxiv",
    "version": 2
  }
}