Pith Number

pith:MNKCYXUH

pith:2021:MNKCYXUHVOPTXY4S5KJGYNB36G

not attested not anchored not stored refs pending

Phenomenological Gravitational Phase Transition: Early and Late Modifications

Marzieh Farhang, Nima Khosravi

arxiv:2109.10725 v1 · 2021-09-22 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNKCYXUHVOPTXY4S5KJGYNB36G}

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

3-dimensional charged black holes in $f({Q})$ gravity

Geometric Constraints on the Pre-Recombination Expansion History from the Hubble Tension

Receipt and verification

First computed	2026-07-05T04:04:20.978605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63542c5e87ab9f3be392ea926c343bf18e1fc2be3c52b7d275b724ebcadb4200

Aliases

arxiv: 2109.10725 · arxiv_version: 2109.10725v1 · doi: 10.48550/arxiv.2109.10725 · pith_short_12: MNKCYXUHVOPT · pith_short_16: MNKCYXUHVOPTXY4S · pith_short_8: MNKCYXUH

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/MNKCYXUHVOPTXY4S5KJGYNB36G \
  | 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: 63542c5e87ab9f3be392ea926c343bf18e1fc2be3c52b7d275b724ebcadb4200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16d2e7c04a45d8498b46032604cf2658ddb2071f11830dd84c58af63f30225cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-09-22T13:29:22Z",
    "title_canon_sha256": "9d52f9201ef0dd18f82ce51715d1aed319cb5fe70a54041e2a07ab788eb59e53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.10725",
    "kind": "arxiv",
    "version": 1
  }
}