Pith Number

pith:SJFGYT4W

pith:2017:SJFGYT4WRZJ22YFYIF4ZTAEYKB

not attested not anchored not stored refs pending

Anti-Self-Dual 4-Manifolds, Quasi-Fuchsian Groups, and Almost-Kaehler Geometry

Christopher J. Bishop, Claude LeBrun

arxiv:1708.03824 v2 · 2017-08-12 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJFGYT4WRZJ22YFYIF4ZTAEYKB}

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	2026-05-18T00:25:34.082604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

924a6c4f968e53ad60b84179998098506b08efba23e40e039adc054ab6150940

Aliases

arxiv: 1708.03824 · arxiv_version: 1708.03824v2 · doi: 10.48550/arxiv.1708.03824 · pith_short_12: SJFGYT4WRZJ2 · pith_short_16: SJFGYT4WRZJ22YFY · pith_short_8: SJFGYT4W

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/SJFGYT4WRZJ22YFYIF4ZTAEYKB \
  | 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: 924a6c4f968e53ad60b84179998098506b08efba23e40e039adc054ab6150940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a502dd44254a1f8ea2012deaaaf9fa7667d615ca5d7489d66c3e986580e1b0",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-12T21:33:27Z",
    "title_canon_sha256": "b7384029f9dcc4f9af4982efe864f52f089c4456b3a102baaa1680ef63405de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03824",
    "kind": "arxiv",
    "version": 2
  }
}