Pith Number

pith:KAC7IS45

pith:1999:KAC7IS45AO4ZMOSLH3A5FOWFLO

not attested not anchored not stored refs pending

The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity - Black Holes

Felix Finster, Joel Smoller, Shing-Tung Yau

arxiv:gr-qc/9910047 v2 · 1999-10-13 · gr-qc · hep-th · 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{KAC7IS45AO4ZMOSLH3A5FOWFLO}

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	2026-05-18T03:00:59.938200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5005f44b9d03b9963a4b3ec1d2bac55b9feecc181f6ba183fe13c622a50685fa

Aliases

arxiv: gr-qc/9910047 · arxiv_version: gr-qc/9910047v2 · doi: 10.48550/arxiv.gr-qc/9910047 · pith_short_12: KAC7IS45AO4Z · pith_short_16: KAC7IS45AO4ZMOSL · pith_short_8: KAC7IS45

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/KAC7IS45AO4ZMOSLH3A5FOWFLO \
  | 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: 5005f44b9d03b9963a4b3ec1d2bac55b9feecc181f6ba183fe13c622a50685fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9a28c3b8609305ab976a6c26611c6dd90b55d4b3d849663f33d5803256da6a",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-10-13T19:44:59Z",
    "title_canon_sha256": "cfcd17787477bc096d309f17ee8571847692774cafc433cd8d22c2a573d4b0b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9910047",
    "kind": "arxiv",
    "version": 2
  }
}