Pith Number

pith:ONLPTVPW

pith:2008:ONLPTVPWYK3ORZDFO6V3SPZYND

not attested not anchored not stored refs pending

Minimum entropy production closure of the photo-hydrodynamic equations for radiative heat transfer

Frank Kassubek, Thomas Christen

arxiv:0812.3321 v1 · 2008-12-17 · cond-mat.stat-mech · astro-ph · cond-mat.other · physics.ao-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{ONLPTVPWYK3ORZDFO6V3SPZYND}

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	2026-05-18T02:35:08.735367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7356f9d5f6c2b6e8e46577abb93f3868e4370fa728be0b0d4d26269339c079e7

Aliases

arxiv: 0812.3321 · arxiv_version: 0812.3321v1 · doi: 10.48550/arxiv.0812.3321 · pith_short_12: ONLPTVPWYK3O · pith_short_16: ONLPTVPWYK3ORZDF · pith_short_8: ONLPTVPW

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/ONLPTVPWYK3ORZDFO6V3SPZYND \
  | 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: 7356f9d5f6c2b6e8e46577abb93f3868e4370fa728be0b0d4d26269339c079e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b30dcd6ac8eaec59eba55f98bcc443d13dad647bbdc16b39e72a7de23966ed3b",
    "cross_cats_sorted": [
      "astro-ph",
      "cond-mat.other",
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2008-12-17T15:42:12Z",
    "title_canon_sha256": "b424b06316ea072e4bfcde2f3198e2875a9799f8c69c60719429f64ae5a1d1b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3321",
    "kind": "arxiv",
    "version": 1
  }
}