Pith Number

pith:KNGPDN2L

pith:2010:KNGPDN2LRZ5J6MI7AMNAWNH3XM

not attested not anchored not stored refs pending

Probing the small distance structure of canonical quantum gravity using the conformal group

Gerard 't Hooft

arxiv:1009.0669 v2 · 2010-09-03 · 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{KNGPDN2LRZ5J6MI7AMNAWNH3XM}

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

Causality Violating Solutions in Curvature-Squared Gravity

Receipt and verification

First computed	2026-05-18T04:39:58.964425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

534cf1b74b8e7a9f311f031a0b34fbbb3657a73dab9a146347497bfd75000fa3

Aliases

arxiv: 1009.0669 · arxiv_version: 1009.0669v2 · doi: 10.48550/arxiv.1009.0669 · pith_short_12: KNGPDN2LRZ5J · pith_short_16: KNGPDN2LRZ5J6MI7 · pith_short_8: KNGPDN2L

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/KNGPDN2LRZ5J6MI7AMNAWNH3XM \
  | 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: 534cf1b74b8e7a9f311f031a0b34fbbb3657a73dab9a146347497bfd75000fa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2544da20ac658f325f585bf10a8b6cb5946328dd84bac6178e991befd5e1ace1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-09-03T13:49:01Z",
    "title_canon_sha256": "17a3aef0caa53f25022109afb3cafd30394207572a0b5478b428b56afb0daab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0669",
    "kind": "arxiv",
    "version": 2
  }
}