Pith Number

pith:NFPKM3NF

pith:2005:NFPKM3NFZZSLTK46X4HLW34I4X

not attested not anchored not stored refs pending

Twisting Null Geodesic Congruences and the Einstein-Maxwell Equations

Ezra T. Newman, Gilberto Silva-Ortigoza

arxiv:gr-qc/0509086 v1 · 2005-09-21 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFPKM3NFZZSLTK46X4HLW34I4X}

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	2026-05-18T04:18:02.202519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

695ea66da5ce64b9ab9ebf0ebb6f88e5cf7f03fe9d191054263af343a6e3398e

Aliases

arxiv: gr-qc/0509086 · arxiv_version: gr-qc/0509086v1 · doi: 10.48550/arxiv.gr-qc/0509086 · pith_short_12: NFPKM3NFZZSL · pith_short_16: NFPKM3NFZZSLTK46 · pith_short_8: NFPKM3NF

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/NFPKM3NFZZSLTK46X4HLW34I4X \
  | 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: 695ea66da5ce64b9ab9ebf0ebb6f88e5cf7f03fe9d191054263af343a6e3398e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e9e2b7496c2dae54f331f483bb490d866ee81495147daaace3e2514ac8b3578",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-09-21T20:49:45Z",
    "title_canon_sha256": "169e042525bb2f206391cf796f60edfa00067b7a032ed6417e1096f3fb5ac6ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0509086",
    "kind": "arxiv",
    "version": 1
  }
}