Pith Number

pith:BPBZKF6I

pith:2011:BPBZKF6IAPJIUG4QZ4FDYAUMC2

not attested not anchored not stored refs pending

Uniqueness and regularity of steady states of the Boltzmann equation for viscoelastic hard-spheres driven by a thermal bath

Bertrand Lods, Ricardo J. Alonso

arxiv:1112.0096 v1 · 2011-12-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPBZKF6IAPJIUG4QZ4FDYAUMC2}

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	2026-05-18T04:07:17.013488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bc39517c803d28a1b90cf0a3c028c16889bbc1cc205295e2dfda05c265d45ca

Aliases

arxiv: 1112.0096 · arxiv_version: 1112.0096v1 · doi: 10.48550/arxiv.1112.0096 · pith_short_12: BPBZKF6IAPJI · pith_short_16: BPBZKF6IAPJIUG4Q · pith_short_8: BPBZKF6I

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/BPBZKF6IAPJIUG4QZ4FDYAUMC2 \
  | 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: 0bc39517c803d28a1b90cf0a3c028c16889bbc1cc205295e2dfda05c265d45ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb8f8128dd8c77b78a5d1a803c5386a59a549e32ed228528c64193c96f197b8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-01T07:36:03Z",
    "title_canon_sha256": "dbf50cac299370a1869301929bbee79c5168a45cddce621068a047593e9743ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0096",
    "kind": "arxiv",
    "version": 1
  }
}