Pith Number

pith:EAMFN5YF

pith:2018:EAMFN5YFRKJUDOR3HKX65CNDUZ

not attested not anchored not stored refs pending

Thermodynamics and phase transitions of galactic clustering in higher-order Modified Gravity

Behnam Pourhassan, Salvatore Capozziello, Sudhaker Upadhyay

arxiv:1809.03579 v1 · 2018-09-11 · 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{EAMFN5YFRKJUDOR3HKX65CNDUZ}

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	2026-05-17T23:55:55.221559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

201856f7058a9341ba3b3aafee89a3a6573c67414d67084a1ffbb75617efa8a7

Aliases

arxiv: 1809.03579 · arxiv_version: 1809.03579v1 · doi: 10.48550/arxiv.1809.03579 · pith_short_12: EAMFN5YFRKJU · pith_short_16: EAMFN5YFRKJUDOR3 · pith_short_8: EAMFN5YF

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/EAMFN5YFRKJUDOR3HKX65CNDUZ \
  | 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: 201856f7058a9341ba3b3aafee89a3a6573c67414d67084a1ffbb75617efa8a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c4271324f28d142396fb0cb81249734b1aaa7652a88cd4b624befcea50f9125",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-09-11T06:04:57Z",
    "title_canon_sha256": "469afe4253ceffcfecbdfbc024f7d73b6657042d2e373a874ad86c38e6a1d294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03579",
    "kind": "arxiv",
    "version": 1
  }
}