Pith Number

pith:YU2ZFH4K

pith:2018:YU2ZFH4KAQWDTZYO4ZALP23A7E

not attested not anchored not stored refs pending

Thermodynamics in a Modified Gravity Involving Higher-Order Torsion Derivative Terms

M. Zubair, Saira Waheed

arxiv:1812.02558 v1 · 2018-12-04 · 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{YU2ZFH4KAQWDTZYO4ZALP23A7E}

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	2026-05-17T23:44:02.608263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c535929f8a042c39e70ee640b7eb60f93dce45adfa1f8c75f6ce9cda0aa83a6f

Aliases

arxiv: 1812.02558 · arxiv_version: 1812.02558v1 · doi: 10.48550/arxiv.1812.02558 · pith_short_12: YU2ZFH4KAQWD · pith_short_16: YU2ZFH4KAQWDTZYO · pith_short_8: YU2ZFH4K

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/YU2ZFH4KAQWDTZYO4ZALP23A7E \
  | 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: c535929f8a042c39e70ee640b7eb60f93dce45adfa1f8c75f6ce9cda0aa83a6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06391f660e4effb6ad11766eba214bc05173e224dc68b46c1b5f764dcfb4b3f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2018-12-04T11:07:30Z",
    "title_canon_sha256": "5f7f9500a7218e1153110fcc995be451713eb29fb5ba65d40e5b8bb0d0abaf51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02558",
    "kind": "arxiv",
    "version": 1
  }
}