Pith Number

pith:E6DGUIEX

pith:2014:E6DGUIEXQ3GWH6ICZ5Y4DXL32Q

not attested not anchored not stored refs pending

The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation

Edward W. Larsen, Kai Krycki, Martin Frank, Richard Vasques

arxiv:1412.1000 v1 · 2014-12-02 · math-ph · math.MP · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E6DGUIEXQ3GWH6ICZ5Y4DXL32Q}

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	2026-05-18T01:37:28.495125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27866a209786cd63f902cf71c1dd7bd4286310a0f75bc6d5d7a151dd02614a30

Aliases

arxiv: 1412.1000 · arxiv_version: 1412.1000v1 · doi: 10.48550/arxiv.1412.1000 · pith_short_12: E6DGUIEXQ3GW · pith_short_16: E6DGUIEXQ3GWH6IC · pith_short_8: E6DGUIEX

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/E6DGUIEXQ3GWH6ICZ5Y4DXL32Q \
  | 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: 27866a209786cd63f902cf71c1dd7bd4286310a0f75bc6d5d7a151dd02614a30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "885deaa5b31246a3b699f565a30efb7eea07d87c93642009f4ac022c7d559dfc",
    "cross_cats_sorted": [
      "math.MP",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-02T18:13:45Z",
    "title_canon_sha256": "25cc8f2e8314f32a2b774dccb3e6e3de94662e98e40462898e0a0e1d4ad843d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1000",
    "kind": "arxiv",
    "version": 1
  }
}