Pith Number

pith:GKNYY5LK

pith:2012:GKNYY5LK6DTQGVBZYNCXUMV2OA

not attested not anchored not stored refs pending

Duality for stochastic models of transport

Claudio Giberti, Cristian Giardina', Frank Redig, Gioia Carinci

arxiv:1212.3154 v2 · 2012-12-13 · math-ph · cond-mat.stat-mech · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKNYY5LK6DTQGVBZYNCXUMV2OA}

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	2026-05-18T01:52:38.862992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

329b8c756af0e7035439c3457a32ba70027f1404a11469b5dcc5638c2026c8c2

Aliases

arxiv: 1212.3154 · arxiv_version: 1212.3154v2 · doi: 10.48550/arxiv.1212.3154 · pith_short_12: GKNYY5LK6DTQ · pith_short_16: GKNYY5LK6DTQGVBZ · pith_short_8: GKNYY5LK

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/GKNYY5LK6DTQGVBZYNCXUMV2OA \
  | 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: 329b8c756af0e7035439c3457a32ba70027f1404a11469b5dcc5638c2026c8c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a55f359f9a8485c94308b208dff6450427f77c01b87d3b91e6fb88f1fffed855",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-13T12:47:57Z",
    "title_canon_sha256": "1b7627952d5c92046aa88daf151408dff8b48e81a7b0d166f37bdf8592a34e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3154",
    "kind": "arxiv",
    "version": 2
  }
}