Pith Number

pith:MKIP3UYA

pith:2004:MKIP3UYAZLEKCR4UOIO54DPXGH

not attested not anchored not stored refs pending

How does the entropy/information bound work ?

Jacob D. Bekenstein

arxiv:quant-ph/0404042 v1 · 2004-04-07 · quant-ph · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKIP3UYAZLEKCR4UOIO54DPXGH}

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.

Cited by

1 paper in Pith

Thermodynamics of black and white holes in ensemble of Planckons

Receipt and verification

First computed	2026-07-04T16:50:15.856384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6290fdd300cac8a14794721dde0df731fb5bf031b95475ec4edb73a4b87693df

Aliases

arxiv: quant-ph/0404042 · arxiv_version: quant-ph/0404042v1 · doi: 10.48550/arxiv.quant-ph/0404042 · pith_short_12: MKIP3UYAZLEK · pith_short_16: MKIP3UYAZLEKCR4U · pith_short_8: MKIP3UYA

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/MKIP3UYAZLEKCR4UOIO54DPXGH \
  | 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: 6290fdd300cac8a14794721dde0df731fb5bf031b95475ec4edb73a4b87693df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "303ce3cbd4ce2f1b04c6545db10a55e21c3ea7a742b1b8942eb5ee0f9cf89c3b",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-04-07T09:20:02Z",
    "title_canon_sha256": "bd1d00fc05517d34cda12e293e3cfca78a5fe6eb889b26e0969d1ed686bd12aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0404042",
    "kind": "arxiv",
    "version": 1
  }
}