Pith Number

pith:ZBZACSHP

pith:2000:ZBZACSHPEK3ZYDPKYZN3KJIICZ

not attested not anchored not stored refs pending

Hyper-K{\"a}hler Hierarchies and their twistor theory

Lionel J. Mason, Maciej Dunajski

arxiv:math/0001008 v1 · 2000-01-03 · math.DG · gr-qc · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBZACSHPEK3ZYDPKYZN3KJIICZ}

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.

Cited by

2 papers in Pith

Celestial 1-form symmetries

Quasi-Local Celestial Charges and Multipoles

Receipt and verification

First computed	2026-07-04T16:21:12.021541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8720148ef22b79c0deac65bb5250816432daf8efc47f83aac36374da23db898

Aliases

arxiv: math/0001008 · arxiv_version: math/0001008v1 · doi: 10.48550/arxiv.math/0001008 · pith_short_12: ZBZACSHPEK3Z · pith_short_16: ZBZACSHPEK3ZYDPK · pith_short_8: ZBZACSHP

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/ZBZACSHPEK3ZYDPKYZN3KJIICZ \
  | 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: c8720148ef22b79c0deac65bb5250816432daf8efc47f83aac36374da23db898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5711b919dab2c4e3af6dfa6c4654a56889400f6a812f8ee1758a75262864249",
    "cross_cats_sorted": [
      "gr-qc",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2000-01-03T19:19:51Z",
    "title_canon_sha256": "c72c6663774a7781857a81148b7f30da050cd53fc6d02417dad2351c344a7843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0001008",
    "kind": "arxiv",
    "version": 1
  }
}