Pith Number

pith:S5DE6HW7

pith:2014:S5DE6HW77OW6LFAVJCCTEMGGH5

not attested not anchored not stored refs pending

Quantum Boltzmann equation for spin-dependent reactions in the kinetic regime

Christian B. Mendl, Herbert Spohn, Markus Kotulla, Martin L.R. F\"urst

arxiv:1411.2576 v2 · 2014-11-10 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5DE6HW77OW6LFAVJCCTEMGGH5}

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	2026-05-18T02:25:27.718598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97464f1edffbade5941548853230c63f40f45cdd58c39f1da0cd46a0888646bc

Aliases

arxiv: 1411.2576 · arxiv_version: 1411.2576v2 · doi: 10.48550/arxiv.1411.2576 · pith_short_12: S5DE6HW77OW6 · pith_short_16: S5DE6HW77OW6LFAV · pith_short_8: S5DE6HW7

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/S5DE6HW77OW6LFAVJCCTEMGGH5 \
  | 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: 97464f1edffbade5941548853230c63f40f45cdd58c39f1da0cd46a0888646bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ca19643cf38f57436fb56710718fd4d7e421e0a48a2b6b4d35e4708dd85ebe",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-10T20:42:14Z",
    "title_canon_sha256": "8eaad6335fc904d0977c6354b24e7aafe96ca6022ae0e9011c617c40395401ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2576",
    "kind": "arxiv",
    "version": 2
  }
}