Pith Number

pith:Y5O6X6AG

pith:2015:Y5O6X6AG6OVUKLUW3RJZCDMJOK

not attested not anchored not stored refs pending

Thermodynamics of flat FLRW universe in Rastall Theory

H. Moradpour

arxiv:1601.04529 v6 · 2015-12-27 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5O6X6AG6OVUKLUW3RJZCDMJOK}

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	2026-05-18T00:54:04.794715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c75debf806f3ab452e96dc53910d8972a8defed7744fd53121d0a5c522ca2f69

Aliases

arxiv: 1601.04529 · arxiv_version: 1601.04529v6 · doi: 10.48550/arxiv.1601.04529 · pith_short_12: Y5O6X6AG6OVU · pith_short_16: Y5O6X6AG6OVUKLUW · pith_short_8: Y5O6X6AG

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/Y5O6X6AG6OVUKLUW3RJZCDMJOK \
  | 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: c75debf806f3ab452e96dc53910d8972a8defed7744fd53121d0a5c522ca2f69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5410be4982707ad3a2a410e4b53805bf866dedb68f5467354caac8120f38599",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2015-12-27T06:35:23Z",
    "title_canon_sha256": "b6b5cabe943fa7df5ad2394755bfa27eb18eedd06aaf8783be2066ac931b1020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04529",
    "kind": "arxiv",
    "version": 6
  }
}