Pith Number

pith:BJYT4S4Q

pith:2015:BJYT4S4Q5B67LKR77OFQVCF5SP

not attested not anchored not stored refs pending

General form of entropy on the horizon of the universe in entropic cosmology

Nobuyoshi Komatsu, Shigeo Kimura

arxiv:1511.04364 v2 · 2015-11-12 · gr-qc · astro-ph.CO · hep-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{BJYT4S4Q5B67LKR77OFQVCF5SP}

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	2026-05-18T01:20:25.799170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a713e4b90e87df5aa3ffb8b0a88bd93f94ba17ec4130498c6a1a61ecc544d4e

Aliases

arxiv: 1511.04364 · arxiv_version: 1511.04364v2 · doi: 10.48550/arxiv.1511.04364 · pith_short_12: BJYT4S4Q5B67 · pith_short_16: BJYT4S4Q5B67LKR7 · pith_short_8: BJYT4S4Q

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/BJYT4S4Q5B67LKR77OFQVCF5SP \
  | 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: 0a713e4b90e87df5aa3ffb8b0a88bd93f94ba17ec4130498c6a1a61ecc544d4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5e94c4c17c410ba853568dd2c58ccf8a77532804e88f01aeb75db13f93e2d77",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-12T04:55:07Z",
    "title_canon_sha256": "1fb379494fc7dbe26c02e8fc45256afcfc7f9343b8a40d08196c129b95a32a5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04364",
    "kind": "arxiv",
    "version": 2
  }
}