Pith Number

pith:5IKCQG3Z

pith:2011:5IKCQG3ZJRGV75UUECV6EQ365C

not attested not anchored not stored refs pending

The Incompressible Euler Limit of the Boltzmann Equation with Accommodation Boundary Condition

Claude Bardos, Fran\c{c}ois Golse, Lionel Paillard

arxiv:1111.0340 v1 · 2011-11-01 · 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{5IKCQG3ZJRGV75UUECV6EQ365C}

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	2026-05-18T04:09:45.235995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea14281b794c4d5ff69420abe2437ee8adcbe60f2bc7f04086635e277cf85f16

Aliases

arxiv: 1111.0340 · arxiv_version: 1111.0340v1 · doi: 10.48550/arxiv.1111.0340 · pith_short_12: 5IKCQG3ZJRGV · pith_short_16: 5IKCQG3ZJRGV75UU · pith_short_8: 5IKCQG3Z

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/5IKCQG3ZJRGV75UUECV6EQ365C \
  | 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: ea14281b794c4d5ff69420abe2437ee8adcbe60f2bc7f04086635e277cf85f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be43d5042ca609ab5d24eb4bd522c9e5662ff43c439f814e62bbe2cb61ee34b1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-01T23:12:41Z",
    "title_canon_sha256": "a3736dd099fb33a46bb2512d356edd0cff02f8314dda6171a432864fe35c46bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0340",
    "kind": "arxiv",
    "version": 1
  }
}