Pith Number

pith:CWRBM2GN

pith:2009:CWRBM2GNNAAAS4UFMIO7PRPHBA

not attested not anchored not stored refs pending

A Larger Estimate of the Entropy of the Universe

Charles H. Lineweaver, Chas A. Egan

arxiv:0909.3983 v3 · 2009-09-22 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWRBM2GNNAAAS4UFMIO7PRPHBA}

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	2026-05-18T02:34:28.208009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15a21668cd6800097285621df7c5e70823c197d4a980ae1f2cce4673c2d7593b

Aliases

arxiv: 0909.3983 · arxiv_version: 0909.3983v3 · doi: 10.48550/arxiv.0909.3983 · pith_short_12: CWRBM2GNNAAA · pith_short_16: CWRBM2GNNAAAS4UF · pith_short_8: CWRBM2GN

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/CWRBM2GNNAAAS4UFMIO7PRPHBA \
  | 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: 15a21668cd6800097285621df7c5e70823c197d4a980ae1f2cce4673c2d7593b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ab544b69bb1bcab594dc42d94f128170c219ecced281d709e8dbcb271a5f9f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-09-22T13:10:59Z",
    "title_canon_sha256": "285286eb782abad21167269fee4c79d4487066065918a39b23d91e845706175c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3983",
    "kind": "arxiv",
    "version": 3
  }
}