Pith Number

pith:WZ47HSMX

pith:2014:WZ47HSMX7JU7E3OXRTCDFKTKNN

not attested not anchored not stored refs pending

Flow coupling and stochastic ordering of throughputs in linear networks

Lasse Leskel\"a

arxiv:1412.2540 v1 · 2014-12-08 · 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{WZ47HSMX7JU7E3OXRTCDFKTKNN}

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	2026-05-18T02:31:57.642906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b679f3c997fa69f26dd78cc432aa6a6b67ed94d7a3eeb1f12f588b10aae878d8

Aliases

arxiv: 1412.2540 · arxiv_version: 1412.2540v1 · doi: 10.48550/arxiv.1412.2540 · pith_short_12: WZ47HSMX7JU7 · pith_short_16: WZ47HSMX7JU7E3OX · pith_short_8: WZ47HSMX

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/WZ47HSMX7JU7E3OXRTCDFKTKNN \
  | 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: b679f3c997fa69f26dd78cc432aa6a6b67ed94d7a3eeb1f12f588b10aae878d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d6612b1e06463a883477201a390d959910431144ffea2123255ffde30833296",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-08T12:33:43Z",
    "title_canon_sha256": "a98571630d9022ecb29f5b5cfa07547b9b9ebefd44d904cddd333e9d64e6b2de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2540",
    "kind": "arxiv",
    "version": 1
  }
}