Pith Number

pith:543GMH7A

pith:2009:543GMH7A7ELWIGWFZRCRFNO3NT

not attested not anchored not stored refs pending

Hyperk\"ahler manifolds with circle actions and the Gibbons-Hawking Ansatz

Justin Sawon, Mustafa Kalafat

arxiv:0910.0672 v2 · 2009-10-05 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{543GMH7A7ELWIGWFZRCRFNO3NT}

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	2026-05-18T04:40:10.513859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef36661fe0f917641ac5cc4512b5db6ccee3c6b73b6da5f54d000b20b31e7f59

Aliases

arxiv: 0910.0672 · arxiv_version: 0910.0672v2 · doi: 10.48550/arxiv.0910.0672 · pith_short_12: 543GMH7A7ELW · pith_short_16: 543GMH7A7ELWIGWF · pith_short_8: 543GMH7A

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/543GMH7A7ELWIGWFZRCRFNO3NT \
  | 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: ef36661fe0f917641ac5cc4512b5db6ccee3c6b73b6da5f54d000b20b31e7f59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b10822a173a173d3a58527098ee0e5963c1d2f84bfffe570d517aae4f194450",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-10-05T04:17:05Z",
    "title_canon_sha256": "c2819a8fb3a54c3f33c2d3f918865406c6fd1e3b8207dd827d0586c6da0f6661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0672",
    "kind": "arxiv",
    "version": 2
  }
}