Pith Number

pith:HCS6X7CK

pith:2019:HCS6X7CK2K47HWLBCCJZ7CPMT7

not attested not anchored not stored refs pending

Viaggiu entropy and the generalized second law in a flat FLRW Universe

Subhajit Saha

arxiv:1910.11675 v2 · 2019-10-22 · 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{HCS6X7CK2K47HWLBCCJZ7CPMT7}

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	2026-07-05T00:18:41.787254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38a5ebfc4ad2b9f3d96110939f89ec9fd5da6a733d03d40674c3d0c791fb53a0

Aliases

arxiv: 1910.11675 · arxiv_version: 1910.11675v2 · doi: 10.48550/arxiv.1910.11675 · pith_short_12: HCS6X7CK2K47 · pith_short_16: HCS6X7CK2K47HWLB · pith_short_8: HCS6X7CK

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/HCS6X7CK2K47HWLBCCJZ7CPMT7 \
  | 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: 38a5ebfc4ad2b9f3d96110939f89ec9fd5da6a733d03d40674c3d0c791fb53a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5eaa2c51c545e0474d742ccde264ccc97a1dfdfedcb6064bd27316c89a4473c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-10-22T19:01:17Z",
    "title_canon_sha256": "8352a3e50857950e54e4abac3c287c67588e66ef814e1c2bcda658d867870253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.11675",
    "kind": "arxiv",
    "version": 2
  }
}