Pith Number

pith:LIVNRV4G

pith:2017:LIVNRV4GTUI4T6ZNEVFAQJXWHB

not attested not anchored not stored refs pending

Linear Boltzmann Equation and Fractional Diffusion

Claude Bardos, Fran\c{c}ois Golse, Iv\'an Moyano

arxiv:1708.09791 v1 · 2017-08-31 · 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{LIVNRV4GTUI4T6ZNEVFAQJXWHB}

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	2026-05-18T00:05:39.669096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2ad8d7869d11c9fb2d254a0826f63844e04dcdfcb8390b566021b7a34d2699

Aliases

arxiv: 1708.09791 · arxiv_version: 1708.09791v1 · doi: 10.48550/arxiv.1708.09791 · pith_short_12: LIVNRV4GTUI4 · pith_short_16: LIVNRV4GTUI4T6ZN · pith_short_8: LIVNRV4G

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/LIVNRV4GTUI4T6ZNEVFAQJXWHB \
  | 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: 5a2ad8d7869d11c9fb2d254a0826f63844e04dcdfcb8390b566021b7a34d2699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4e8d07768d05c42eaf84191219a532acfb5a3b8bcaf976556b3e041f2c0c07a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-31T16:06:46Z",
    "title_canon_sha256": "6d8dd166a7669ec749a30dbd44a5e1b35d26617f1c01a24f3a889c8fafe3c1e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09791",
    "kind": "arxiv",
    "version": 1
  }
}