Pith Number

pith:62ANR5AP

pith:2013:62ANR5APRHUCSXZ6ZF5HN2FE4V

not attested not anchored not stored refs pending

On the existence of tangential holomorphic vector fields vanishing at an infinite type point

Ninh Van Thu

arxiv:1303.6156 v7 · 2013-03-25 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62ANR5APRHUCSXZ6ZF5HN2FE4V}

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	2026-05-18T02:45:05.046874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f680d8f40f89e8295f3ec97a76e8a4e5592fdc7567495638ec5a6f2c0564a3d4

Aliases

arxiv: 1303.6156 · arxiv_version: 1303.6156v7 · doi: 10.48550/arxiv.1303.6156 · pith_short_12: 62ANR5APRHUC · pith_short_16: 62ANR5APRHUCSXZ6 · pith_short_8: 62ANR5AP

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/62ANR5APRHUCSXZ6ZF5HN2FE4V \
  | 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: f680d8f40f89e8295f3ec97a76e8a4e5592fdc7567495638ec5a6f2c0564a3d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66792f78a7641b59a7134c12f18de9bbfcdda68b72f7c9ab4f21efb9ff575e6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-03-25T15:09:07Z",
    "title_canon_sha256": "82e136b8ba04c662bf55e84da631f670f9ea201e85c6c3e6d9463c7e86ee07b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6156",
    "kind": "arxiv",
    "version": 7
  }
}