Pith Number

pith:377OOIVD

pith:2000:377OOIVDRR3E6RC7UE26OSP3B5

not attested not anchored not stored refs pending

Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells

Felix Finster, Joel Smoller, Shing-Tung Yau

arxiv:gr-qc/0005028 v3 · 2000-05-10 · gr-qc · math-ph · math.AP · 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{377OOIVDRR3E6RC7UE26OSP3B5}

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	2026-05-18T04:35:35.392383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dffee722a38c764f445fa135e749fb0f72fc8c3977766a0ead499a003ed19673

Aliases

arxiv: gr-qc/0005028 · arxiv_version: gr-qc/0005028v3 · doi: 10.48550/arxiv.gr-qc/0005028 · pith_short_12: 377OOIVDRR3E · pith_short_16: 377OOIVDRR3E6RC7 · pith_short_8: 377OOIVD

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/377OOIVDRR3E6RC7UE26OSP3B5 \
  | 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: dffee722a38c764f445fa135e749fb0f72fc8c3977766a0ead499a003ed19673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b6c2e6d427cea5b2bcf5ec2ad28c23f24320cc7f731f7726fdba9e61ca370c",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-05-10T11:58:36Z",
    "title_canon_sha256": "88333d64de0eaf644e21953a47d60f20c3d4cffe1f097d736ff21de8bf038b45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0005028",
    "kind": "arxiv",
    "version": 3
  }
}