Pith Number

pith:DFZ2EMDT

pith:2019:DFZ2EMDTIVDWZOSO6YKAG3NHUG

not attested not anchored not stored refs pending

Holomorphic vector fields and rationality

Wenchuan Hu

arxiv:1911.04717 v3 · 2019-11-12 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFZ2EMDTIVDWZOSO6YKAG3NHUG}

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	2026-07-05T00:44:41.360570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1973a2307345476cba4ef614036da7a192f99324475bf47df53022f341b9cf2f

Aliases

arxiv: 1911.04717 · arxiv_version: 1911.04717v3 · doi: 10.48550/arxiv.1911.04717 · pith_short_12: DFZ2EMDTIVDW · pith_short_16: DFZ2EMDTIVDWZOSO · pith_short_8: DFZ2EMDT

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/DFZ2EMDTIVDWZOSO6YKAG3NHUG \
  | 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: 1973a2307345476cba4ef614036da7a192f99324475bf47df53022f341b9cf2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6829a1a4770fda3957e484f77863cea1ba9d564533a578f7691a542cfe823587",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-11-12T07:51:32Z",
    "title_canon_sha256": "c2c984909e8a1b6506d86a78ad56eb36c4af2b5995583103b4aa8efbf95577d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.04717",
    "kind": "arxiv",
    "version": 3
  }
}