Pith Number

pith:H53XYNTZ

pith:2000:H53XYNTZU2HUOYQDOXGUJMDTNC

not attested not anchored not stored refs pending

HyperK\"ahler Manifolds and Birational Transformations in dimension 4

Dan Burns, Tie Luo, Yi Hu

arxiv:math/0004154 v1 · 2000-04-25 · 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{H53XYNTZU2HUOYQDOXGUJMDTNC}

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	2026-07-04T14:34:28.626495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f777c3679a68f47620375cd44b0736887e20f0a79df02f6dadfeb575c8e4577

Aliases

arxiv: math/0004154 · arxiv_version: math/0004154v1 · doi: 10.48550/arxiv.math/0004154 · pith_short_12: H53XYNTZU2HU · pith_short_16: H53XYNTZU2HUOYQD · pith_short_8: H53XYNTZ

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/H53XYNTZU2HUOYQDOXGUJMDTNC \
  | 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: 3f777c3679a68f47620375cd44b0736887e20f0a79df02f6dadfeb575c8e4577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50472c4f0a00c888883d7059c2716bb62f3c55193845dafc9e5a9d2a17f462dd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-04-25T14:38:05Z",
    "title_canon_sha256": "07d630dc42984c4c06402a10ed8dbfc97a5aee7ed18829949cec0a98bb2a8aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0004154",
    "kind": "arxiv",
    "version": 1
  }
}