Pith Number

pith:HV2MEGZE

pith:2022:HV2MEGZEYBMN2KHLFTHLHO7JOQ

not attested not anchored not stored refs pending

Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions

Francesco Salvarani (PULV), Laurent Boudin (LJLL (UMR\_7598)), Thomas Borsoni (LJLL (UMR\_7598))

arxiv:2204.10551 v2 · 2022-04-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HV2MEGZEYBMN2KHLFTHLHO7JOQ}

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	2026-07-05T04:19:08.279688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d74c21b24c058dd28eb2cceb3bbe9741da34f0657360150d4c78b309329a67b

Aliases

arxiv: 2204.10551 · arxiv_version: 2204.10551v2 · doi: 10.48550/arxiv.2204.10551 · pith_short_12: HV2MEGZEYBMN · pith_short_16: HV2MEGZEYBMN2KHL · pith_short_8: HV2MEGZE

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/HV2MEGZEYBMN2KHLFTHLHO7JOQ \
  | 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: 3d74c21b24c058dd28eb2cceb3bbe9741da34f0657360150d4c78b309329a67b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03254a06adf5d3500177a8241422f2eaa60d2d8dccfd4f36c278a68ef70ec2ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-04-22T07:51:50Z",
    "title_canon_sha256": "3a1d29876cdbdfceabfaf204e1637d5c1b82efc24680cf2fd0957c3548defa4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.10551",
    "kind": "arxiv",
    "version": 2
  }
}