Pith Number

pith:VYNCTYBW

pith:2013:VYNCTYBWQQKE6DOFHWA3ULVY6R

not attested not anchored not stored refs pending

Dynamical degrees of birational transformations of projective surfaces

J\'er\'emy Blanc, Serge Cantat

arxiv:1307.0361 v2 · 2013-07-01 · math.AG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYNCTYBWQQKE6DOFHWA3ULVY6R}

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	2026-05-17T23:54:07.930681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae1a29e03684144f0dc53d81ba2eb8f46b4b21e8dc759eae4bc26769bae9a114

Aliases

arxiv: 1307.0361 · arxiv_version: 1307.0361v2 · doi: 10.48550/arxiv.1307.0361 · pith_short_12: VYNCTYBWQQKE · pith_short_16: VYNCTYBWQQKE6DOF · pith_short_8: VYNCTYBW

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/VYNCTYBWQQKE6DOFHWA3ULVY6R \
  | 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: ae1a29e03684144f0dc53d81ba2eb8f46b4b21e8dc759eae4bc26769bae9a114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de1997ec4a4a906b42a4d1ca5e7c79f00bacb59e203934dd5f575d256b918c3c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-01T13:22:30Z",
    "title_canon_sha256": "332fce1dcfc82b223c20cac5e9b4deba02cee1251f7b79921797e14088c74f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0361",
    "kind": "arxiv",
    "version": 2
  }
}