Pith Number

pith:QOENQRKG

pith:2010:QOENQRKGJO2YODENBC2GPQTEMU

not attested not anchored not stored refs pending

Killing Vector Fields in Three Dimensions: A Method to Solve Massive Gravity Field Equations

Metin Gurses

arxiv:1001.1039 v4 · 2010-01-07 · gr-qc · hep-th · math-ph · 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{QOENQRKGJO2YODENBC2GPQTEMU}

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	2026-05-18T02:33:50.191460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8388d845464bb5870c8d08b467c264651e05483793d0498a2d72cb4e1e279c44

Aliases

arxiv: 1001.1039 · arxiv_version: 1001.1039v4 · doi: 10.48550/arxiv.1001.1039 · pith_short_12: QOENQRKGJO2Y · pith_short_16: QOENQRKGJO2YODEN · pith_short_8: QOENQRKG

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/QOENQRKGJO2YODENBC2GPQTEMU \
  | 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: 8388d845464bb5870c8d08b467c264651e05483793d0498a2d72cb4e1e279c44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c34eebffff95fa575585037cab898cca348f4fb9a8f8dd5883f0c0440dc4fc9",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-01-07T09:28:23Z",
    "title_canon_sha256": "1dd7663b418943ec34f9eac3a147b4d40abfc793afb67a5b29c9dedc59a075ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1039",
    "kind": "arxiv",
    "version": 4
  }
}