Pith Number

pith:E7LQQR3N

pith:2006:E7LQQR3N3XFTLTKH4SLCCVJDFF

not attested not anchored not stored refs pending

Quasiclassical Coarse Graining and Thermodynamic Entropy

James Hartle (University of California Santa Barbara), Murray Gell-Mann (Santa Fe Institute)

arxiv:quant-ph/0609190 v3 · 2006-09-25 · quant-ph · cond-mat.stat-mech · 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{E7LQQR3N3XFTLTKH4SLCCVJDFF}

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

Wavefunction branches demand a definition!

Receipt and verification

First computed	2026-07-04T15:28:59.847823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d708476dddcb35cd47e49621552329422477caacbc3abef61e8e220b911730

Aliases

arxiv: quant-ph/0609190 · arxiv_version: quant-ph/0609190v3 · doi: 10.48550/arxiv.quant-ph/0609190 · pith_short_12: E7LQQR3N3XFT · pith_short_16: E7LQQR3N3XFTLTKH · pith_short_8: E7LQQR3N

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/E7LQQR3N3XFTLTKH4SLCCVJDFF \
  | 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: 27d708476dddcb35cd47e49621552329422477caacbc3abef61e8e220b911730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d3f76c856322dc0d0d76eacbffaf8d0df5f4a6152f2be36c75ba94b3f2e54a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-09-25T18:50:50Z",
    "title_canon_sha256": "c7dfa9f0e3d2ee295b6996718a7b6e24780c6aeda957b2cf79077510cc0b1788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0609190",
    "kind": "arxiv",
    "version": 3
  }
}