Pith Number

pith:X3IVTTD7

pith:2024:X3IVTTD74WDC7OF7QXBI2FHOPD

not attested not anchored not stored refs pending

Unitary evolution and cosmic acceleration in Loop Quantum Cosmology

Hugo A. Morales-T\'ecotl, Omar Gallegos, Tonatiuh Matos

arxiv:2412.07916 v2 · 2024-12-10 · 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{X3IVTTD74WDC7OF7QXBI2FHOPD}

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	2026-07-05T10:41:18.751902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bed159cc7fe5862fb8bf85c28d14ee78d8d52644c5686eaedd038a296912d88a

Aliases

arxiv: 2412.07916 · arxiv_version: 2412.07916v2 · doi: 10.48550/arxiv.2412.07916 · pith_short_12: X3IVTTD74WDC · pith_short_16: X3IVTTD74WDC7OF7 · pith_short_8: X3IVTTD7

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/X3IVTTD74WDC7OF7QXBI2FHOPD \
  | 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: bed159cc7fe5862fb8bf85c28d14ee78d8d52644c5686eaedd038a296912d88a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "474097a4e8675bfc0e6cd2f9c09c99e5e35723aeb4c62063d4b4a954c8a1bf44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-10T20:56:38Z",
    "title_canon_sha256": "0ae99612700b6bf44923851a18747d8948b2013dd15ef506f1b1e8fc31562fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07916",
    "kind": "arxiv",
    "version": 2
  }
}