Pith Number

pith:TXAHQ7IX

pith:2014:TXAHQ7IXAMY6Y3AY7GSH7LT4HK

not attested not anchored not stored refs pending

Families of affine ruled surfaces: existence of cylinders

Adrien Dubouloz (IMB), Takashi Kishimoto

arxiv:1408.1328 v1 · 2014-08-06 · 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{TXAHQ7IXAMY6Y3AY7GSH7LT4HK}

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	2026-05-18T02:45:47.502784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dc0787d170331ec6c18f9a47fae7c3aa811c7f0db271b6828dcdad4c54761e8

Aliases

arxiv: 1408.1328 · arxiv_version: 1408.1328v1 · doi: 10.48550/arxiv.1408.1328 · pith_short_12: TXAHQ7IXAMY6 · pith_short_16: TXAHQ7IXAMY6Y3AY · pith_short_8: TXAHQ7IX

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/TXAHQ7IXAMY6Y3AY7GSH7LT4HK \
  | 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: 9dc0787d170331ec6c18f9a47fae7c3aa811c7f0db271b6828dcdad4c54761e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf73e105d619d2cc23a386e65ae43c21624984a69d934d8bc8ea65dfadee24d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-06T15:43:58Z",
    "title_canon_sha256": "b2d2e08993b632b4682520eef357f7142d7424b61817603de435bb1585fc3449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1328",
    "kind": "arxiv",
    "version": 1
  }
}