Pith Number

pith:CY5UJBXG

pith:2015:CY5UJBXGWYJ443A5OKGXHEVHB7

not attested not anchored not stored refs pending

Rigid affine surfaces with isomorphic A2-cylinders

Adrien Dubouloz (IMB)

arxiv:1507.05802 v1 · 2015-07-21 · 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{CY5UJBXGWYJ443A5OKGXHEVHB7}

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	2026-05-18T01:36:32.407339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

163b4486e6b613ce6c1d728d7392a70fd8ca9e84752336acdc940d84aaa33b3c

Aliases

arxiv: 1507.05802 · arxiv_version: 1507.05802v1 · doi: 10.48550/arxiv.1507.05802 · pith_short_12: CY5UJBXGWYJ4 · pith_short_16: CY5UJBXGWYJ443A5 · pith_short_8: CY5UJBXG

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/CY5UJBXGWYJ443A5OKGXHEVHB7 \
  | 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: 163b4486e6b613ce6c1d728d7392a70fd8ca9e84752336acdc940d84aaa33b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d52062c9ec9ab620bd16386c9351bb5a3e084af5d55517fb30d05da3d22babe4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-21T12:26:15Z",
    "title_canon_sha256": "b795604a6e67518166d0d7d504646e1f5d532f84af707285418c532485c59a48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05802",
    "kind": "arxiv",
    "version": 1
  }
}