Pith Number

pith:63NAJIYM

pith:1994:63NAJIYMPMPPTUBGCKQXK4SPSR

not attested not anchored not stored refs pending

Topology Change in (2+1)-Dimensional Gravity

R. Cosgrove, S. Carlip

arxiv:gr-qc/9406006 v1 · 1994-06-03 · 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{63NAJIYMPMPPTUBGCKQXK4SPSR}

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.

Cited by

1 paper in Pith

3-dimensional charged black holes in $f({Q})$ gravity

Receipt and verification

First computed	2026-07-04T17:27:25.333214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6da04a30c7b1ef9d02612a175724f947b4f6bf25f2e9ca632f559f40909b075

Aliases

arxiv: gr-qc/9406006 · arxiv_version: gr-qc/9406006v1 · doi: 10.48550/arxiv.gr-qc/9406006 · pith_short_12: 63NAJIYMPMPP · pith_short_16: 63NAJIYMPMPPTUBG · pith_short_8: 63NAJIYM

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/63NAJIYMPMPPTUBGCKQXK4SPSR \
  | 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: f6da04a30c7b1ef9d02612a175724f947b4f6bf25f2e9ca632f559f40909b075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad9af6ba95b8cb8ee2eb322bb86868ee1ce951bd841d1305975a403f8e568655",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-06-03T19:11:14Z",
    "title_canon_sha256": "c808828aec7e50dfaeaf2668ebe3aa85272a8b92528d6973cf52656d4dfabed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9406006",
    "kind": "arxiv",
    "version": 1
  }
}