Pith Number

pith:YEZAWMCN

pith:2013:YEZAWMCNHKKW3WZAPAMRY5NVXK

not attested not anchored not stored refs pending

Compositions of birational endomorphisms of the affine plane

Daniel Daigle, Pierrette Cassou-Nogu\`es

arxiv:1307.3977 v2 · 2013-07-15 · 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{YEZAWMCNHKKW3WZAPAMRY5NVXK}

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	2026-05-18T01:22:25.200220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1320b304d3a956ddb2078191c75b5ba8a9c870f711c6907920be6dd0b0c9d58

Aliases

arxiv: 1307.3977 · arxiv_version: 1307.3977v2 · doi: 10.48550/arxiv.1307.3977 · pith_short_12: YEZAWMCNHKKW · pith_short_16: YEZAWMCNHKKW3WZA · pith_short_8: YEZAWMCN

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/YEZAWMCNHKKW3WZAPAMRY5NVXK \
  | 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: c1320b304d3a956ddb2078191c75b5ba8a9c870f711c6907920be6dd0b0c9d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e35826e406f8737a7ae2b797274768eb2653a54d13f860b5a5b1657f78016cc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-15T14:54:36Z",
    "title_canon_sha256": "d4599f9637e9c658549ef2a4c2b358660ff83da341f74985c17864ecb872a3d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3977",
    "kind": "arxiv",
    "version": 2
  }
}