Pith Number

pith:UBK57W7J

pith:2005:UBK57W7JT4YRHYH77SWYZY5M3D

not attested not anchored not stored refs pending

On (Cosmological) Singularity Avoidance in Loop Quantum Gravity

Johannes Brunnemann, Thomas Thiemann

arxiv:gr-qc/0505032 v1 · 2005-05-08 · gr-qc · astro-ph · 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{UBK57W7JT4YRHYH77SWYZY5M3D}

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

Testing Einstein Maxwell Power-Yang-Mills Hair via Black Hole Photon Rings

Receipt and verification

First computed	2026-07-04T16:55:13.734618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a055dfdbe99f3113e0fffcad8ce3acd8c893187e2509b29ce0937af8405adfae

Aliases

arxiv: gr-qc/0505032 · arxiv_version: gr-qc/0505032v1 · doi: 10.48550/arxiv.gr-qc/0505032 · pith_short_12: UBK57W7JT4YR · pith_short_16: UBK57W7JT4YRHYH7 · pith_short_8: UBK57W7J

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/UBK57W7JT4YRHYH77SWYZY5M3D \
  | 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: a055dfdbe99f3113e0fffcad8ce3acd8c893187e2509b29ce0937af8405adfae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac0f3b2a6bfa104a825c8c006f030be61d3e2ed0731f4b21fac559030547da21",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-05-08T20:54:01Z",
    "title_canon_sha256": "f158e95d9a45f3ee7af3dd72ed31250364bc709bd5af5fb3bcbdaa2f25ff665e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0505032",
    "kind": "arxiv",
    "version": 1
  }
}