Pith Number

pith:CX3QS6C6

pith:2012:CX3QS6C6RYVXFIZU43DJB4IEOB

not attested not anchored not stored refs pending

Black Hole Entropy from complex Ashtekar variables

Alejandro Perez, Ernesto Frodden, Karim Noui, Marc Geiller

arxiv:1212.4060 v2 · 2012-12-17 · 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{CX3QS6C6RYVXFIZU43DJB4IEOB}

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

Toller matrices and the Feynman $i\varepsilon$ in spinfoams

Receipt and verification

First computed	2026-05-18T02:48:17.896287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15f709785e8e2b72a334e6c690f104707690a34ca85496593fd619c67bfbe2b4

Aliases

arxiv: 1212.4060 · arxiv_version: 1212.4060v2 · doi: 10.48550/arxiv.1212.4060 · pith_short_12: CX3QS6C6RYVX · pith_short_16: CX3QS6C6RYVXFIZU · pith_short_8: CX3QS6C6

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/CX3QS6C6RYVXFIZU43DJB4IEOB \
  | 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: 15f709785e8e2b72a334e6c690f104707690a34ca85496593fd619c67bfbe2b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d49b38384d233a01ce03e5dddd3190604a745514d32231b9aa1fea6160404b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-17T16:36:30Z",
    "title_canon_sha256": "7fb4a4c654132d34467df2ff3b72673a72f411744376347157f84cdad787fbf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4060",
    "kind": "arxiv",
    "version": 2
  }
}