Pith Number

pith:67X4HJEP

pith:2016:67X4HJEPPENTE7UFFGYUJOVHPS

not attested not anchored not stored refs pending

An Algorithm for the calculation of non-isotropic collision integral matrix elements of the non-linear Boltzmann equation by the use of recurrence relations

A.B. Gerasimenko, E.Yu. Flegontova, I.A. Ender, L.A. Bakaleinikov

arxiv:1610.09094 v2 · 2016-10-28 · 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{67X4HJEPPENTE7UFFGYUJOVHPS}

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	2026-05-18T00:46:07.893702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7efc3a48f791b327e8529b144baa77cb2b940f662a32b8443a0134256f5bd2e

Aliases

arxiv: 1610.09094 · arxiv_version: 1610.09094v2 · doi: 10.48550/arxiv.1610.09094 · pith_short_12: 67X4HJEPPENT · pith_short_16: 67X4HJEPPENTE7UF · pith_short_8: 67X4HJEP

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/67X4HJEPPENTE7UFFGYUJOVHPS \
  | 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: f7efc3a48f791b327e8529b144baa77cb2b940f662a32b8443a0134256f5bd2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ea838956eced5d28eb25b62bf312a98ee95a8a88a517acf0993f91de2dfd18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2016-10-28T07:04:41Z",
    "title_canon_sha256": "eeaab2cd622383db0262e76f33ec10153e53fa6c90168fdb7848d112ae122990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09094",
    "kind": "arxiv",
    "version": 2
  }
}