Pith Number

pith:AM7JUJMI

pith:2010:AM7JUJMIVW7PLEJRCV5VY7Q5HO

not attested not anchored not stored refs pending

The generalized second law of thermodynamics and the nature of the Entropy Function

Nairwita Mazumder, Ritabrata Biswas, Subenoy Chakraborty

arxiv:1009.2891 v1 · 2010-09-15 · 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{AM7JUJMIVW7PLEJRCV5VY7Q5HO}

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	2026-05-18T04:35:36.350343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

033e9a2588adbef59131157b5c7e1d3b8410000ed4e225c62436f326e0aaaf0e

Aliases

arxiv: 1009.2891 · arxiv_version: 1009.2891v1 · doi: 10.48550/arxiv.1009.2891 · pith_short_12: AM7JUJMIVW7P · pith_short_16: AM7JUJMIVW7PLEJR · pith_short_8: AM7JUJMI

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/AM7JUJMIVW7PLEJRCV5VY7Q5HO \
  | 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: 033e9a2588adbef59131157b5c7e1d3b8410000ed4e225c62436f326e0aaaf0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea02e9ae90ae0926d882ce13a9adab9bcfec74db378ac89372c349fb6c6f0620",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-09-15T10:25:14Z",
    "title_canon_sha256": "1592a94e8972a7e3be2c5f012e926470d89e37fc72ba361443d69005bc7dfe25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2891",
    "kind": "arxiv",
    "version": 1
  }
}