Pith Number

pith:5HI5J3UX

pith:2009:5HI5J3UXQWCGFF53NPV4TUCLLD

not attested not anchored not stored refs pending

On the slope of relatively minimal fibrations on rational complex surfaces

Abel Castorena, Alexis G. Zamora, Claudia R. Alcantara

arxiv:1001.0177 v3 · 2009-12-31 · 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{5HI5J3UXQWCGFF53NPV4TUCLLD}

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	2026-05-18T04:42:12.396435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9d1d4ee9785846297bb6bebc9d04b58e899b2172ca8e616d06751ed68e0b70c

Aliases

arxiv: 1001.0177 · arxiv_version: 1001.0177v3 · doi: 10.48550/arxiv.1001.0177 · pith_short_12: 5HI5J3UXQWCG · pith_short_16: 5HI5J3UXQWCGFF53 · pith_short_8: 5HI5J3UX

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/5HI5J3UXQWCGFF53NPV4TUCLLD \
  | 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: e9d1d4ee9785846297bb6bebc9d04b58e899b2172ca8e616d06751ed68e0b70c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a1ad439b997f566dd879373240f9f48d36f2abe69d26ed85b36d8deb88b6f04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-31T20:00:37Z",
    "title_canon_sha256": "cd25d1f2de59b7a6de3c808712cd295669abc67ea54ea5280d1383a8a64595e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0177",
    "kind": "arxiv",
    "version": 3
  }
}