Pith Number

pith:MTAOUKCV

pith:1998:MTAOUKCVEHO4AO6T4ABKW22E6B

not attested not anchored not stored refs pending

On the existence of Killing vector fields

Istvan Racz

arxiv:gr-qc/9811031 v2 · 1998-11-11 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTAOUKCVEHO4AO6T4ABKW22E6B}

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	2026-07-04T16:08:52.863606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c0ea285521ddc03bd3e002ab6b44f0542e9ea9cf3466b2e7e91e2cd36b9e44

Aliases

arxiv: gr-qc/9811031 · arxiv_version: gr-qc/9811031v2 · doi: 10.48550/arxiv.gr-qc/9811031 · pith_short_12: MTAOUKCVEHO4 · pith_short_16: MTAOUKCVEHO4AO6T · pith_short_8: MTAOUKCV

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/MTAOUKCVEHO4AO6T4ABKW22E6B \
  | 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: 64c0ea285521ddc03bd3e002ab6b44f0542e9ea9cf3466b2e7e91e2cd36b9e44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a9e7e2641d7fef11982f02608b8b2919f113ea8e4da851bbc08fe4e15b6e9b7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-11-11T08:23:06Z",
    "title_canon_sha256": "94380e827404283260bdf5e35b33febd205982c801e0532d011da89d3d0e8491"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9811031",
    "kind": "arxiv",
    "version": 2
  }
}