Pith Number

pith:UVYN37RR

pith:2015:UVYN37RROJ33VFQYG6XRIRI7HF

not attested not anchored not stored refs pending

Negative Holomorphic curvature and positive canonical bundle

Damin Wu, Shing-Tung Yau

arxiv:1505.05802 v1 · 2015-05-21 · math.DG · 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{UVYN37RROJ33VFQYG6XRIRI7HF}

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	2026-05-18T01:15:46.721022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a570ddfe317277ba961837af14451f394459112acd08e9eaecc8e2cfdde5f585

Aliases

arxiv: 1505.05802 · arxiv_version: 1505.05802v1 · doi: 10.48550/arxiv.1505.05802 · pith_short_12: UVYN37RROJ33 · pith_short_16: UVYN37RROJ33VFQY · pith_short_8: UVYN37RR

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/UVYN37RROJ33VFQYG6XRIRI7HF \
  | 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: a570ddfe317277ba961837af14451f394459112acd08e9eaecc8e2cfdde5f585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6762c48be6aeee0262ed6987b2be523a5b3688de741cd3c38e7f9ae2bad1efc8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-21T17:32:12Z",
    "title_canon_sha256": "869f4316f53c78422885369657cce4fc33dbce36348473391b0b1988bdf1f945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05802",
    "kind": "arxiv",
    "version": 1
  }
}