Pith Number

pith:O3C45T6G

pith:2025:O3C45T6GD2O4YUAQGOBE763VSY

not attested not anchored not stored refs pending

Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant

Anzhong Wang, Geeth Ongole, Parampreet Singh

arxiv:2502.09718 v1 · 2025-02-13 · gr-qc · 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{O3C45T6GD2O4YUAQGOBE763VSY}

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	2026-07-05T10:52:58.094210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76c5cecfc61e9dcc501033824ffb75962fba9dccde3cb34b9b8a5115e062ac12

Aliases

arxiv: 2502.09718 · arxiv_version: 2502.09718v1 · doi: 10.48550/arxiv.2502.09718 · pith_short_12: O3C45T6GD2O4 · pith_short_16: O3C45T6GD2O4YUAQ · pith_short_8: O3C45T6G

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/O3C45T6GD2O4YUAQGOBE763VSY \
  | 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: 76c5cecfc61e9dcc501033824ffb75962fba9dccde3cb34b9b8a5115e062ac12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74cb3ec469e9d5627dc862632c65efc927d69268c4d43f0f416911a1832a2f2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-02-13T19:10:33Z",
    "title_canon_sha256": "a0cb746bca1d82bb4900504f0e335f1778a7326d11bb3fa2f36676c69725c4b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.09718",
    "kind": "arxiv",
    "version": 1
  }
}