Pith Number

pith:NZ23MJDK

pith:2022:NZ23MJDKSJDNPE2UFORQTBSVIW

not attested not anchored not stored refs pending

Well/ill-posedness bifurcation for the Boltzmann equation with constant collision kernel

Justin Holmer, Xuwen Chen

arxiv:2206.11931 v2 · 2022-06-23 · math.AP · math-ph · math.MP

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\usepackage{pith}
\pithnumber{NZ23MJDKSJDNPE2UFORQTBSVIW}

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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

Local well-posedness for the periodic Boltzmann equation with constant collision kernel

Receipt and verification

First computed	2026-07-05T08:49:22.672521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e75b6246a9246d793542ba309865545988d04ddf0ea1026917a10ebd6391a65

Aliases

arxiv: 2206.11931 · arxiv_version: 2206.11931v2 · doi: 10.48550/arxiv.2206.11931 · pith_short_12: NZ23MJDKSJDN · pith_short_16: NZ23MJDKSJDNPE2U · pith_short_8: NZ23MJDK

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/NZ23MJDKSJDNPE2UFORQTBSVIW \
  | 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: 6e75b6246a9246d793542ba309865545988d04ddf0ea1026917a10ebd6391a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92d6677554f641b129fae33ead191fa6afce800c14d0e7569ce2ce99c0f93f4a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-06-23T18:25:26Z",
    "title_canon_sha256": "9254e89947f5fc0ed52eee2953f46a22f3c4e4218bbc0c7592430bdbb5f3e98f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.11931",
    "kind": "arxiv",
    "version": 2
  }
}