Pith Number

pith:7QGDQUNI

pith:2007:7QGDQUNI5RS55K3VKKABAIKYNJ

not attested not anchored not stored refs pending

Noether Charge and Black Hole Entropy in Modified Theories of Gravity

Dan N. Vollick

arxiv:0710.1859 v2 · 2007-10-09 · 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{7QGDQUNI5RS55K3VKKABAIKYNJ}

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	2026-07-04T15:24:46.442305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc0c3851a8ec65deab7552801021586a4ea112878d6ddffe453b407fe4c76e34

Aliases

arxiv: 0710.1859 · arxiv_version: 0710.1859v2 · doi: 10.48550/arxiv.0710.1859 · pith_short_12: 7QGDQUNI5RS5 · pith_short_16: 7QGDQUNI5RS55K3V · pith_short_8: 7QGDQUNI

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/7QGDQUNI5RS55K3VKKABAIKYNJ \
  | 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: fc0c3851a8ec65deab7552801021586a4ea112878d6ddffe453b407fe4c76e34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "231c9925591fc53555708f7243d3fa4471647a30c0bb5ee38ca0d6b30a0b9c3f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-10-09T19:47:24Z",
    "title_canon_sha256": "936be164d90e3c8f95d009b83c6d7f642e06484c1ee3a178f77c31824c8cdfbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1859",
    "kind": "arxiv",
    "version": 2
  }
}