Pith Number

pith:K7OFVBKE

pith:2018:K7OFVBKE6EYHFDCZNECI57QYPM

not attested not anchored not stored refs pending

A BGK model for gas mixtures of polyatomic molecules allowing for slow and fast relaxation of the temperatures

Marlies Pirner

arxiv:1806.10509 v1 · 2018-06-27 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7OFVBKE6EYHFDCZNECI57QYPM}

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	2026-05-18T00:02:44.646600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57dc5a8544f130728c5969048efe187b368bfb6d8fdc4547fd7b9700ef6ff284

Aliases

arxiv: 1806.10509 · arxiv_version: 1806.10509v1 · doi: 10.48550/arxiv.1806.10509 · pith_short_12: K7OFVBKE6EYH · pith_short_16: K7OFVBKE6EYHFDCZ · pith_short_8: K7OFVBKE

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/K7OFVBKE6EYHFDCZNECI57QYPM \
  | 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: 57dc5a8544f130728c5969048efe187b368bfb6d8fdc4547fd7b9700ef6ff284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbcbb632f59718ff7408ecb87ab33cedb9166e65f13bbb0ff1443b91e14875bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-27T14:49:32Z",
    "title_canon_sha256": "e04bb1d755e524b619b18688e315ed079581b7192527ed1971c97bb4ee508674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10509",
    "kind": "arxiv",
    "version": 1
  }
}