Pith Number

pith:2FX4QZOL

pith:2014:2FX4QZOLNMY65MUTNSIMHNNMPQ

not attested not anchored not stored refs pending

A practical criterion for positivity of transition densities

David P. Herzog, Jonathan C. Mattingly

arxiv:1407.3858 v1 · 2014-07-15 · math.PR · math-ph · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FX4QZOLNMY65MUTNSIMHNNMPQ}

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	2026-05-18T00:46:49.920041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d16fc865cb6b31eeb2936c90c3b5ac7c1abfc4bc3ed9e23370f9481f1bc8c33c

Aliases

arxiv: 1407.3858 · arxiv_version: 1407.3858v1 · doi: 10.48550/arxiv.1407.3858 · pith_short_12: 2FX4QZOLNMY6 · pith_short_16: 2FX4QZOLNMY65MUT · pith_short_8: 2FX4QZOL

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/2FX4QZOLNMY65MUTNSIMHNNMPQ \
  | 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: d16fc865cb6b31eeb2936c90c3b5ac7c1abfc4bc3ed9e23370f9481f1bc8c33c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e389e2ff6a0b827551d775299ee7ebed3d02c4452e2f807378daa2d7006f27",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-15T01:49:22Z",
    "title_canon_sha256": "0858a697be543411b30135d68a3c1672936b7fda9f7b974ff6c40e1ac033f370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3858",
    "kind": "arxiv",
    "version": 1
  }
}