Pith Number

pith:P2CLOQT6

pith:2000:P2CLOQT664SRX5AZOU2ZQDAN3G

not attested not anchored not stored refs pending

2+1 gravity, chaos and time machines

Ingemar Bengtsson, Johan Braennlund (Stockholm University)

arxiv:gr-qc/0012018 v1 · 2000-12-05 · 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{P2CLOQT664SRX5AZOU2ZQDAN3G}

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	2026-05-18T01:39:24.501733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e84b7427ef7251bf4197535980c0dd9b4996d2aa78044f11297d17a3a6b1896

Aliases

arxiv: gr-qc/0012018 · arxiv_version: gr-qc/0012018v1 · doi: 10.48550/arxiv.gr-qc/0012018 · pith_short_12: P2CLOQT664SR · pith_short_16: P2CLOQT664SRX5AZ · pith_short_8: P2CLOQT6

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/P2CLOQT664SRX5AZOU2ZQDAN3G \
  | 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: 7e84b7427ef7251bf4197535980c0dd9b4996d2aa78044f11297d17a3a6b1896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01f57f2145d316fae7f6d028b3dfea35c730b88f51ece44b609520a990f32f7a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-05T13:40:20Z",
    "title_canon_sha256": "2fe5a5a672100c4f19f109353861c1449c8342089c2d7a77af38eb5d0e7a6b06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012018",
    "kind": "arxiv",
    "version": 1
  }
}