Pith Number

pith:WCGCRLLG

pith:2019:WCGCRLLG3CIHI6PLW4CMPSNGEH

not attested not anchored not stored refs pending

Density of Inertial Particles: Exactly Solvable 2D Models

Leonid Piterbarg

arxiv:1907.02147 v1 · 2019-07-03 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCGCRLLG3CIHI6PLW4CMPSNGEH}

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	2026-05-17T23:41:29.703722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b08c28ad66d8907479ebb704c7c9a621cc1017057a126840ec512b3edc7fb772

Aliases

arxiv: 1907.02147 · arxiv_version: 1907.02147v1 · doi: 10.48550/arxiv.1907.02147 · pith_short_12: WCGCRLLG3CIH · pith_short_16: WCGCRLLG3CIHI6PL · pith_short_8: WCGCRLLG

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/WCGCRLLG3CIHI6PLW4CMPSNGEH \
  | 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: b08c28ad66d8907479ebb704c7c9a621cc1017057a126840ec512b3edc7fb772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e892a8f619c9ef3d9e9a0811e197dae6a68c369e72905bb9eb4e50b50a8ef7c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-03T22:14:34Z",
    "title_canon_sha256": "4bb51da4f96f412b33961a71686bcf05cce1cca9807885b246cf32d2e194a981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02147",
    "kind": "arxiv",
    "version": 1
  }
}