Pith Number

pith:M3N2YONT

pith:2024:M3N2YONTHRXOF737KWFSNEUOZ4

not attested not anchored not stored refs pending

On the dynamics of single-vertex states in quantum-reduced loop gravity

Ilkka M\"akinen

arxiv:2412.01375 v2 · 2024-12-02 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3N2YONTHRXOF737KWFSNEUOZ4}

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

2 papers in Pith

Effective dynamics of a homogeneous and isotropic universe with quantum curvature

Emergent Thiemann coherent states in the near-kernel sector of quantum reduced loop gravity

Receipt and verification

First computed	2026-07-05T10:56:12.785476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66dbac39b33c6ee2ff7f558b26928ecf2fce516515518f01f953fbd89306b457

Aliases

arxiv: 2412.01375 · arxiv_version: 2412.01375v2 · doi: 10.48550/arxiv.2412.01375 · pith_short_12: M3N2YONTHRXO · pith_short_16: M3N2YONTHRXOF737 · pith_short_8: M3N2YONT

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/M3N2YONTHRXOF737KWFSNEUOZ4 \
  | 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: 66dbac39b33c6ee2ff7f558b26928ecf2fce516515518f01f953fbd89306b457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2df8481226258506d75619d91dbc2c47998d0c09eed1228dc9c038ff7dcfd7e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-02T11:00:05Z",
    "title_canon_sha256": "52261eaecf6f75ca1159a406d5098a19129c1378925366898faf6691f1e662f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01375",
    "kind": "arxiv",
    "version": 2
  }
}