Pith Number

pith:5F6G3EHH

pith:2008:5F6G3EHHWJEYP2XURARXPFY6DZ

not attested not anchored not stored refs pending

Optimal prediction for radiative transfer: A new perspective on moment closure

Benjamin Seibold, Martin Frank

arxiv:0806.4707 v4 · 2008-06-28 · math-ph · cs.NA · math.MP · math.NA · physics.comp-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{5F6G3EHHWJEYP2XURARXPFY6DZ}

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	2026-06-03T22:06:07.572010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e97c6d90e7b24987eaf4882377971e1e602539cfdcb5ea567ea5a8822e2eef40

Aliases

arxiv: 0806.4707 · arxiv_version: 0806.4707v4 · doi: 10.48550/arxiv.0806.4707 · pith_short_12: 5F6G3EHHWJEY · pith_short_16: 5F6G3EHHWJEYP2XU · pith_short_8: 5F6G3EHH

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/5F6G3EHHWJEYP2XURARXPFY6DZ \
  | 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: e97c6d90e7b24987eaf4882377971e1e602539cfdcb5ea567ea5a8822e2eef40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369723fee49acbd05fba68c333a22926625032e07b0c23e25bafe6bf6202fd4e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.MP",
      "math.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-06-28T16:38:04Z",
    "title_canon_sha256": "3a86934778d07bcbf90768690621dcf8f2433c7917cd5590e4a296fe5fd5ad78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.4707",
    "kind": "arxiv",
    "version": 4
  }
}