Pith Number

pith:P7A6RF43

pith:2025:P7A6RF43TFVGE6QEZCA5RGGLP5

not attested not anchored not stored refs pending

Entropy in Loop Quantum Cosmology

Alejandro Corichi, Omar Gallegos

arxiv:2505.09055 v2 · 2025-05-14 · 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{P7A6RF43TFVGE6QEZCA5RGGLP5}

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

Model-independent reconstruction of cosmic thermodynamics and dark energy dynamics

Receipt and verification

First computed	2026-06-08T01:05:00.793944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc1e8979b996a627a04c881d898cb7f5763618e8edc631e0fe235aa1db2d2b4

Aliases

arxiv: 2505.09055 · arxiv_version: 2505.09055v2 · doi: 10.48550/arxiv.2505.09055 · pith_short_12: P7A6RF43TFVG · pith_short_16: P7A6RF43TFVGE6QE · pith_short_8: P7A6RF43

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/P7A6RF43TFVGE6QEZCA5RGGLP5 \
  | 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: 7fc1e8979b996a627a04c881d898cb7f5763618e8edc631e0fe235aa1db2d2b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878e5b57af00d540c51f2771212b2f1cfd99841711902d7dfcf50191893e7ffe",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-05-14T01:19:52Z",
    "title_canon_sha256": "45a53cc9d6d3936003b6f0e963457b0a6f2ce2940200d01a0fc39f019ea76ae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09055",
    "kind": "arxiv",
    "version": 2
  }
}