Pith Number

pith:5SPOLLPZ

pith:2013:5SPOLLPZOD2QDP2L6BX6VFFQFS

not attested not anchored not stored refs pending

The Diffusion Approximation for the Linear Boltzmann Equation with Vanishing Scattering Coefficient

Claude Bardos, Etienne Bernard, Fran\c{c}ois Golse, R\'emi Sentis

arxiv:1309.1774 v1 · 2013-09-06 · 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{5SPOLLPZOD2QDP2L6BX6VFFQFS}

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	2026-05-18T02:20:50.009249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec9ee5adf970f501bf4bf06fea94b02c9cc712fd91740ede73176c244ab3848e

Aliases

arxiv: 1309.1774 · arxiv_version: 1309.1774v1 · doi: 10.48550/arxiv.1309.1774 · pith_short_12: 5SPOLLPZOD2Q · pith_short_16: 5SPOLLPZOD2QDP2L · pith_short_8: 5SPOLLPZ

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/5SPOLLPZOD2QDP2L6BX6VFFQFS \
  | 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: ec9ee5adf970f501bf4bf06fea94b02c9cc712fd91740ede73176c244ab3848e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5584131dc2890c98f37f7d64362c71b41b159a5e8459a7be8db69e6b3a31a0ed",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-06T20:33:59Z",
    "title_canon_sha256": "190559a904ad90bdcc7dfd9b2330d9185fd6f7fbb714eac8fde7882c532770dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1774",
    "kind": "arxiv",
    "version": 1
  }
}