Pith Number

pith:7WWNS7GZ

pith:2015:7WWNS7GZRLXGIVNRLRHH45Z7SN

not attested not anchored not stored refs pending

Generalized Second Law for Cosmology

Netta Engelhardt, Raphael Bousso

arxiv:1510.02099 v1 · 2015-10-07 · hep-th · 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{7WWNS7GZRLXGIVNRLRHH45Z7SN}

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	2026-05-18T01:22:35.567815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdacd97cd98aee6455b15c4e7e773f93435bbda30b6c75fa466f2d482d56743d

Aliases

arxiv: 1510.02099 · arxiv_version: 1510.02099v1 · doi: 10.48550/arxiv.1510.02099 · pith_short_12: 7WWNS7GZRLXG · pith_short_16: 7WWNS7GZRLXGIVNR · pith_short_8: 7WWNS7GZ

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/7WWNS7GZRLXGIVNRLRHH45Z7SN \
  | 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: fdacd97cd98aee6455b15c4e7e773f93435bbda30b6c75fa466f2d482d56743d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "234a4581271c050c598c83ce51889e74cfe6851979027b78f2685d557ba0007d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-10-07T20:10:35Z",
    "title_canon_sha256": "7908fceaf5c4d51c9f193b8649a8b9d34d65e6506934578958b879d756228bb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02099",
    "kind": "arxiv",
    "version": 1
  }
}