Pith Number

pith:3C5LA4PG

pith:2006:3C5LA4PGWHQKXURM4PQN6HECLM

not attested not anchored not stored refs pending

Relational observables in 2d quantum gravity

Michael Gary, Steven B. Giddings

arxiv:hep-th/0612191 v2 · 2006-12-19 · hep-th · 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{3C5LA4PGWHQKXURM4PQN6HECLM}

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

2 papers in Pith

Localization and anomalous reference frames in gravity

Gravitational null rays: Covariant Quantization and the Dressing Time

Receipt and verification

First computed	2026-07-04T15:31:44.206178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8bab071e6b1e0abd22ce3e0df1c825b3867b268176a8bbee08efc54e76010e3

Aliases

arxiv: hep-th/0612191 · arxiv_version: hep-th/0612191v2 · doi: 10.48550/arxiv.hep-th/0612191 · pith_short_12: 3C5LA4PGWHQK · pith_short_16: 3C5LA4PGWHQKXURM · pith_short_8: 3C5LA4PG

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/3C5LA4PGWHQKXURM4PQN6HECLM \
  | 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: d8bab071e6b1e0abd22ce3e0df1c825b3867b268176a8bbee08efc54e76010e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682bef78e2681bdb4db2c5cee25149fa8be5fcda2cbdd477050a82e947b02f12",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-19T19:43:04Z",
    "title_canon_sha256": "fd4d15acb92c968850a12a2d8755b3a5b249d772104845837d1fc17770b37162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612191",
    "kind": "arxiv",
    "version": 2
  }
}