Pith Number

pith:DFPVDTHI

pith:2022:DFPVDTHINGGGE4GX4RKVSSZXXV

not attested not anchored not stored refs pending

The Boltzmann equation for hard potentials with integrable angular transition: Coerciveness, exponential tails rates, and Lebesgue integrability

Irene M. Gamba, Ricardo J. Alonso

arxiv:2211.09188 v2 · 2022-11-16 · math-ph · math.MP

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\usepackage{pith}
\pithnumber{DFPVDTHINGGGE4GX4RKVSSZXXV}

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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.

Cited by

1 paper in Pith

Moment estimates for polyatomic Boltzmann equation with frozen collisions

Receipt and verification

First computed	2026-07-05T05:31:59.252625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

195f51cce8698c6270d7e455594b37bd5778b500b5f69001ac75cdba8066f5f1

Aliases

arxiv: 2211.09188 · arxiv_version: 2211.09188v2 · doi: 10.48550/arxiv.2211.09188 · pith_short_12: DFPVDTHINGGG · pith_short_16: DFPVDTHINGGGE4GX · pith_short_8: DFPVDTHI

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/DFPVDTHINGGGE4GX4RKVSSZXXV \
  | 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: 195f51cce8698c6270d7e455594b37bd5778b500b5f69001ac75cdba8066f5f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2d29781ad3106f47f2bc3076f080e8fce5cdeca9357aa15efe6ba74235bd678",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-11-16T20:12:30Z",
    "title_canon_sha256": "d52781a0cb18e709cf60223281c62eb185888ba814181af36e75d9480a629fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.09188",
    "kind": "arxiv",
    "version": 2
  }
}