Pith Number

pith:GPYDHH5R

pith:2016:GPYDHH5RFMS3EMLSYZXQR2T5CD

not attested not anchored not stored refs pending

Generalized Second Law of Thermodynamic in Modified Teleparallel Theory

Mubasher Jamil, M. Zubair, Sebastian Bahamonde

arxiv:1604.02996 v3 · 2016-04-11 · 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{GPYDHH5RFMS3EMLSYZXQR2T5CD}

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	2026-05-18T00:40:08.320100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33f0339fb12b25b23172c66f08ea7d10e789e23636f82550edcab628c35892af

Aliases

arxiv: 1604.02996 · arxiv_version: 1604.02996v3 · doi: 10.48550/arxiv.1604.02996 · pith_short_12: GPYDHH5RFMS3 · pith_short_16: GPYDHH5RFMS3EMLS · pith_short_8: GPYDHH5R

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/GPYDHH5RFMS3EMLSYZXQR2T5CD \
  | 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: 33f0339fb12b25b23172c66f08ea7d10e789e23636f82550edcab628c35892af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "130f8964799c2f6071bbe8498288c67ac6ae6b035ba2a37df069300e1a1b0d44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-04-11T15:26:08Z",
    "title_canon_sha256": "d31c74aba37cf6d5da6d725e8361e6494de76d9b2cdf1a7fd536ed3dfbb27975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02996",
    "kind": "arxiv",
    "version": 3
  }
}