Pith Number

pith:TLUUQKB7

pith:2011:TLUUQKB756Z5CQC4RN23DB4ZSO

not attested not anchored not stored refs pending

From the Boltzmann Equation to the Euler Equations in the Presence of Boundaries

Fran\c{c}ois Golse

arxiv:1111.0344 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{TLUUQKB756Z5CQC4RN23DB4ZSO}

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	2026-05-18T03:26:53.053891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ae948283fefb3d1405c8b75b187999397e3dc8867c0f4783d94c398d56e0d51

Aliases

arxiv: 1111.0344 · arxiv_version: 1111.0344v1 · doi: 10.48550/arxiv.1111.0344 · pith_short_12: TLUUQKB756Z5 · pith_short_16: TLUUQKB756Z5CQC4 · pith_short_8: TLUUQKB7

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/TLUUQKB756Z5CQC4RN23DB4ZSO \
  | 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: 9ae948283fefb3d1405c8b75b187999397e3dc8867c0f4783d94c398d56e0d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d792894d33865b02f2b4d4e5ce12911e78280352d722e1bfcaa5345f1d9574fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-01T23:26:50Z",
    "title_canon_sha256": "bf6be2bca92c9ea528df4100d31000101dcb435fed50624f27ed7c20eaa5c7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0344",
    "kind": "arxiv",
    "version": 1
  }
}