Pith Number

pith:VSC3TM2U

pith:2007:VSC3TM2UZB4AYN6AYV7BBTXO6W

not attested not anchored not stored refs pending

Renormalization and black hole entropy in Loop Quantum Gravity

Ted Jacobson

arxiv:0707.4026 v2 · 2007-07-26 · 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{VSC3TM2UZB4AYN6AYV7BBTXO6W}

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

Spinfoams, $\gamma$-duality and parity violation in primordial gravitational waves

Receipt and verification

First computed	2026-05-18T04:38:48.922288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac85b9b354c8780c37c0c57e10ceeef5accd067279e83607922e11e60628615c

Aliases

arxiv: 0707.4026 · arxiv_version: 0707.4026v2 · doi: 10.48550/arxiv.0707.4026 · pith_short_12: VSC3TM2UZB4A · pith_short_16: VSC3TM2UZB4AYN6A · pith_short_8: VSC3TM2U

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/VSC3TM2UZB4AYN6AYV7BBTXO6W \
  | 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: ac85b9b354c8780c37c0c57e10ceeef5accd067279e83607922e11e60628615c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37781ca6526160667dc57fcfcdfa72c616f175e8747ca5b79e7d2ddc44cd467f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-07-26T23:33:10Z",
    "title_canon_sha256": "a9521121c6c420a2e2a5dca93f15b5ee4eb47cf3306eba48149a7c41f9a5a701"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4026",
    "kind": "arxiv",
    "version": 2
  }
}