Pith Number

pith:K5BSOCGI

pith:2003:K5BSOCGIABOBBFORK44H4RAXT6

not attested not anchored not stored refs pending

Toric self-dual Einstein metrics as quotients

Charles P. Boyer, David M. J. Calderbank, Krzysztof Galicki, Paolo Piccinni

arxiv:math/0311145 v1 · 2003-11-10 · math.DG · hep-th · 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{K5BSOCGIABOBBFORK44H4RAXT6}

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	2026-05-18T01:38:28.726831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57432708c8005c1095d157387e44179f81523ded29b8c355e985b909eb99cac3

Aliases

arxiv: math/0311145 · arxiv_version: math/0311145v1 · doi: 10.48550/arxiv.math/0311145 · pith_short_12: K5BSOCGIABOB · pith_short_16: K5BSOCGIABOBBFOR · pith_short_8: K5BSOCGI

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/K5BSOCGIABOBBFORK44H4RAXT6 \
  | 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: 57432708c8005c1095d157387e44179f81523ded29b8c355e985b909eb99cac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16d147563ae57900f1242dcfec5d55700ffcfa7b193fa2e3f4bdabb19af5e2b3",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-11-10T16:04:06Z",
    "title_canon_sha256": "4cbc27eb3e7d7d766dbfe465c9a8f31a3ec42f8f7c723ed65087ffca66f9ca98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311145",
    "kind": "arxiv",
    "version": 1
  }
}