Pith Number

pith:PDWKKN2N

pith:2013:PDWKKN2NGQM4HXH5QYMFBRG7WT

not attested not anchored not stored refs pending

Birational geometry in the study of dynamics of automorphisms and Brody/Mori/Lang hyperbolicity

De-Qi Zhang

arxiv:1308.2997 v1 · 2013-08-14 · math.AG · math.CV · math.DG · 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{PDWKKN2NGQM4HXH5QYMFBRG7WT}

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	2026-05-18T00:12:58.917220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78eca5374d3419c3dcfd861850c4dfb4dc32ee7dc55ae795794b28041204c4e8

Aliases

arxiv: 1308.2997 · arxiv_version: 1308.2997v1 · doi: 10.48550/arxiv.1308.2997 · pith_short_12: PDWKKN2NGQM4 · pith_short_16: PDWKKN2NGQM4HXH5 · pith_short_8: PDWKKN2N

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/PDWKKN2NGQM4HXH5QYMFBRG7WT \
  | 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: 78eca5374d3419c3dcfd861850c4dfb4dc32ee7dc55ae795794b28041204c4e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ffbd6e1976444c79d48f83eef3ca0f8fa24e6b7cfc4be419d5a5ad2cc02caf0",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-14T00:18:44Z",
    "title_canon_sha256": "7a96061b03c9bb3a65a0f78fecdadc2781b4a2ef76d4785c82d28a6348adcc6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2997",
    "kind": "arxiv",
    "version": 1
  }
}