Pith Number

pith:CLJJEDYO

pith:2004:CLJJEDYOVYNI3P4NXGSA7DBBKF

not attested not anchored not stored refs pending

Observables in 3-dimensional quantum gravity and topological invariants

J.Manuel Garcia-Islas

arxiv:gr-qc/0401093 v1 · 2004-01-21 · 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{CLJJEDYOVYNI3P4NXGSA7DBBKF}

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

The many facets of a hyperbolic tetrahedron: open and closed triangulations of 3d gravity

Receipt and verification

First computed	2026-07-04T16:47:40.771516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d2920f0eae1a8dbf8db9a40f8c21514ff2c8b0ccaa43d437ad3e549c80478e

Aliases

arxiv: gr-qc/0401093 · arxiv_version: gr-qc/0401093v1 · doi: 10.48550/arxiv.gr-qc/0401093 · pith_short_12: CLJJEDYOVYNI · pith_short_16: CLJJEDYOVYNI3P4N · pith_short_8: CLJJEDYO

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/CLJJEDYOVYNI3P4NXGSA7DBBKF \
  | 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: 12d2920f0eae1a8dbf8db9a40f8c21514ff2c8b0ccaa43d437ad3e549c80478e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3196749a8fef6e0e568b54ed74110d37b0d64a63b6c4af28dd711800fe457a1a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-01-21T22:46:50Z",
    "title_canon_sha256": "d8cda024bd215ade83d695f037efa9909ff7a306f34ab36d5e0e8c2cac70e9e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0401093",
    "kind": "arxiv",
    "version": 1
  }
}