Pith. sign in
Pith Number

pith:UDWU5EBY

pith:2019:UDWU5EBYVFF4TDBGR7BZHK5WOE
not attested not anchored not stored refs pending

Solution of the Generalized Linear Boltzmann Equation for Transport in Multidimensional Stochastic Media

Ari Frankel

arxiv:1901.05874 v1 · 2019-01-17 · physics.comp-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UDWU5EBYVFF4TDBGR7BZHK5WOE}

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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 2026-05-17T23:39:55.262008Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a0ed4e9038a94bc98c268fc393abb6713b13676f3fcc528566e58ce222b0e1c7

Aliases

arxiv: 1901.05874 · arxiv_version: 1901.05874v1 · doi: 10.48550/arxiv.1901.05874 · pith_short_12: UDWU5EBYVFF4 · pith_short_16: UDWU5EBYVFF4TDBG · pith_short_8: UDWU5EBY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UDWU5EBYVFF4TDBGR7BZHK5WOE \
  | 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: a0ed4e9038a94bc98c268fc393abb6713b13676f3fcc528566e58ce222b0e1c7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ae27d550400eed62e296ce0dda4fdd60011feb1060f6694db450198f5b4af926",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2019-01-17T16:30:44Z",
    "title_canon_sha256": "585d145276fe1bdd97d21729075674040cf00b8ebfb32e55af7be191b9aec447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05874",
    "kind": "arxiv",
    "version": 1
  }
}