Pith Number

pith:W4OQPTAW

pith:2011:W4OQPTAW4XEHOKOHB7J7MEYYMT

not attested not anchored not stored refs pending

Local covariance, renormalization ambiguity, and local thermal equilibrium in cosmology

Rainer Verch

arxiv:1105.6249 v2 · 2011-05-31 · 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{W4OQPTAW4XEHOKOHB7J7MEYYMT}

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.

Receipt and verification

First computed	2026-05-18T04:20:37.468814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b71d07cc16e5c87729c70fd3f6131864f60580102ab2bd75710f0dce482fe23c

Aliases

arxiv: 1105.6249 · arxiv_version: 1105.6249v2 · doi: 10.48550/arxiv.1105.6249 · pith_short_12: W4OQPTAW4XEH · pith_short_16: W4OQPTAW4XEHOKOH · pith_short_8: W4OQPTAW

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/W4OQPTAW4XEHOKOHB7J7MEYYMT \
  | 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: b71d07cc16e5c87729c70fd3f6131864f60580102ab2bd75710f0dce482fe23c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c9c55ea7b9b110fbbca028db1c762429ca0f68a58db7f86bfafbb067e54124c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-05-31T12:02:17Z",
    "title_canon_sha256": "72569c112de84adda9ceefeb867de34502ee3cfb17c44e58a2c1f8b1cccb18ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6249",
    "kind": "arxiv",
    "version": 2
  }
}