Pith Number

pith:FSBWGDYM

pith:2001:FSBWGDYMKAXKE2RQYXTVJB2S5M

not attested not anchored not stored refs pending

HyperK\"ahler Manifolds and Birational Transformations

S.-T. Yau, Yi Hu

arxiv:math/0111089 v5 · 2001-11-07 · math.AG · hep-th · 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{FSBWGDYMKAXKE2RQYXTVJB2S5M}

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	2026-07-04T14:49:15.602676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c83630f0c502ea26a30c5e7548752eb1f193f24b279ca3f07a5892be0be7917

Aliases

arxiv: math/0111089 · arxiv_version: math/0111089v5 · doi: 10.48550/arxiv.math/0111089 · pith_short_12: FSBWGDYMKAXK · pith_short_16: FSBWGDYMKAXKE2RQ · pith_short_8: FSBWGDYM

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/FSBWGDYMKAXKE2RQYXTVJB2S5M \
  | 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: 2c83630f0c502ea26a30c5e7548752eb1f193f24b279ca3f07a5892be0be7917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d5bc62bb1be866e9e9aa4819781817a5b601d4a5566a911d6a308792ab7d37b",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-11-07T22:56:37Z",
    "title_canon_sha256": "8df6278544274e3f8f8b21cde4a0b5777ca011d2973a465e53c2aecf8a59ae7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111089",
    "kind": "arxiv",
    "version": 5
  }
}