Pith Number

pith:K4TJIPAP

pith:2007:K4TJIPAPMOCO32IPPR4DBYSZ2T

not attested not anchored not stored refs pending

Liouville gravity from Einstein gravity

D. Grumiller, R. Jackiw

arxiv:0712.3775 v2 · 2007-12-21 · gr-qc · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4TJIPAPMOCO32IPPR4DBYSZ2T}

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

Critical spacetime crystals in continuous dimensions

Receipt and verification

First computed	2026-05-18T04:09:04.225702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5726943c0f6384ede90f7c7830e259d4c3f93176f94d6a56e6aa2e010d1b46f3

Aliases

arxiv: 0712.3775 · arxiv_version: 0712.3775v2 · doi: 10.48550/arxiv.0712.3775 · pith_short_12: K4TJIPAPMOCO · pith_short_16: K4TJIPAPMOCO32IP · pith_short_8: K4TJIPAP

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/K4TJIPAPMOCO32IPPR4DBYSZ2T \
  | 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: 5726943c0f6384ede90f7c7830e259d4c3f93176f94d6a56e6aa2e010d1b46f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29df9a10583b113d8a3466259c659c0665b5d93d9c6fbee18c7a3a8ad807e059",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-12-21T19:09:31Z",
    "title_canon_sha256": "1413cd3d04e7b445938f24a7d15b9b5e1c1f80a3811d40947354fa47ec0eca02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3775",
    "kind": "arxiv",
    "version": 2
  }
}