Pith Number

pith:UB3FIYF4

pith:2009:UB3FIYF4VDDCGEA2DIH7IW3WZB

not attested not anchored not stored refs pending

Homogenization of the linear Boltzmann equation in a domain with a periodic distribution of holes

Emanuele Caglioti, Etienne Bernard, Francois Golse

arxiv:0906.4011 v2 · 2009-06-22 · 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{UB3FIYF4VDDCGEA2DIH7IW3WZB}

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	2026-05-18T03:50:11.225885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0765460bca8c623101a1a0ff45b76c85497c0d23e934c17e6e48ef70216a48d

Aliases

arxiv: 0906.4011 · arxiv_version: 0906.4011v2 · doi: 10.48550/arxiv.0906.4011 · pith_short_12: UB3FIYF4VDDC · pith_short_16: UB3FIYF4VDDCGEA2 · pith_short_8: UB3FIYF4

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/UB3FIYF4VDDCGEA2DIH7IW3WZB \
  | 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: a0765460bca8c623101a1a0ff45b76c85497c0d23e934c17e6e48ef70216a48d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30b6ee3de6d7900a82d7dba6b8cb625b2f56527adcec3f040de2c5104aa85a14",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-06-22T13:54:19Z",
    "title_canon_sha256": "e94a50bb2252ab7ee4e2e1d052a8350babcbacfc1b20bc71c0eae25f69cd0985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4011",
    "kind": "arxiv",
    "version": 2
  }
}