Pith Number

pith:N64GSHGJ

pith:2015:N64GSHGJCKU64KKYXQ5CL63H7N

not attested not anchored not stored refs pending

Moment closure approximations of the Boltzmann Equation based on {\phi}-divergences

E.H. van Brummelen, M.R.A. Abdel-Malik

arxiv:1503.05183 v1 · 2015-03-17 · math-ph · math.MP · 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{N64GSHGJCKU64KKYXQ5CL63H7N}

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	2026-05-18T02:22:20.065299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb8691cc912a9ee2958bc3a25fb67fb6db27547b9017d8aef9b3ff705f13a1c

Aliases

arxiv: 1503.05183 · arxiv_version: 1503.05183v1 · doi: 10.48550/arxiv.1503.05183 · pith_short_12: N64GSHGJCKU6 · pith_short_16: N64GSHGJCKU64KKY · pith_short_8: N64GSHGJ

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/N64GSHGJCKU64KKYXQ5CL63H7N \
  | 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: 6fb8691cc912a9ee2958bc3a25fb67fb6db27547b9017d8aef9b3ff705f13a1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1f0f3802b111e3595b7ddf5bf2e4a4aaa54b1c183cab8d36715a06716adc88b",
    "cross_cats_sorted": [
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-17T19:49:33Z",
    "title_canon_sha256": "a9e90eaebd8bff65e703bd902ebacccaa825625912962644179eb383e0906009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05183",
    "kind": "arxiv",
    "version": 1
  }
}