Pith Number

pith:ZK725NMF

pith:2006:ZK725NMFA7WVJCJ5X4775SS5AL

not attested not anchored not stored refs pending

Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff

Cl\'ement Mouhot (CEREMADE), Robert M. Strain (HARVARD)

arxiv:math/0607495 v2 · 2006-07-20 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK725NMFA7WVJCJ5X4775SS5AL}

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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

Future global stability of Maxwell-J\"uttner equilibria and vacuum for the massless Boltzmann equation on FLRW spacetimes

Receipt and verification

First computed	2026-05-18T01:08:49.963037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cabfaeb58507ed54893dbf3ffeca5d02f159d552e328b896b15ce4072de849f4

Aliases

arxiv: math/0607495 · arxiv_version: math/0607495v2 · doi: 10.48550/arxiv.math/0607495 · pith_short_12: ZK725NMFA7WV · pith_short_16: ZK725NMFA7WVJCJ5 · pith_short_8: ZK725NMF

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/ZK725NMFA7WVJCJ5X4775SS5AL \
  | 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: cabfaeb58507ed54893dbf3ffeca5d02f159d552e328b896b15ce4072de849f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ee8a5d495f65e287c6afbd850dd7b09600fb7b22eb5b6f79ce7258fddfa2e59",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-07-20T13:36:55Z",
    "title_canon_sha256": "207e205b758aad1b044ba46f7993ddc80f187fe0b79bef3b5fe97d0ec940e073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607495",
    "kind": "arxiv",
    "version": 2
  }
}