Pith Number

pith:4ACL5URR

pith:2021:4ACL5URRNOF2BGGB6WR3K6TDXZ

not attested not anchored not stored refs pending

Energy method for the Boltzmann equation of monatomic gaseous mixtures

B\'er\'enice Grec (MAP5 - UMR 8145), Laurent Boudin (LJLL (UMR\_7598)), Milana Pavi\'c-\v{C}oli\'c (RWTH), Srboljub Simi\'c

arxiv:2110.07213 v2 · 2021-10-14 · 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{4ACL5URRNOF2BGGB6WR3K6TDXZ}

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	2026-07-05T06:12:30.436974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e004bed2316b8ba098c1f5a3b57a63be74e45c43fcc0a41272e089cb1e6963b1

Aliases

arxiv: 2110.07213 · arxiv_version: 2110.07213v2 · doi: 10.48550/arxiv.2110.07213 · pith_short_12: 4ACL5URRNOF2 · pith_short_16: 4ACL5URRNOF2BGGB · pith_short_8: 4ACL5URR

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/4ACL5URRNOF2BGGB6WR3K6TDXZ \
  | 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: e004bed2316b8ba098c1f5a3b57a63be74e45c43fcc0a41272e089cb1e6963b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "993fb9eabfaf8cebf50ff5ac6bcafd07b3d536750d9eb1eda28fc5212257c950",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-14T08:19:20Z",
    "title_canon_sha256": "3d46466d82b9e68cf4fd85c2c3ac9c55f33753d74fb0ffdbbdd6f542135719ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.07213",
    "kind": "arxiv",
    "version": 2
  }
}