Pith Number

pith:3HKJMVL7

pith:2016:3HKJMVL7QJRHT7UQBVFORICU5Z

not attested not anchored not stored refs pending

Stochastic continuity equation with non-smooth velocity

Christian Olivera, David A.C.

arxiv:1610.03326 v2 · 2016-10-11 · math.AP · 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{3HKJMVL7QJRHT7UQBVFORICU5Z}

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	2026-05-18T00:51:30.143530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9d496557f826279fe900d4ae8a054ee734b2cf4b327f7fa9835cf60679c829b

Aliases

arxiv: 1610.03326 · arxiv_version: 1610.03326v2 · doi: 10.48550/arxiv.1610.03326 · pith_short_12: 3HKJMVL7QJRH · pith_short_16: 3HKJMVL7QJRHT7UQ · pith_short_8: 3HKJMVL7

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/3HKJMVL7QJRHT7UQBVFORICU5Z \
  | 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: d9d496557f826279fe900d4ae8a054ee734b2cf4b327f7fa9835cf60679c829b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0156617be431a8880c0a984401ebc8f847c36881a1c2f65d44f098e51c25902",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-11T13:32:31Z",
    "title_canon_sha256": "3eb2a2679b197c1b5547eaf167093d3a7ae50baad43422de11e9b19c6b715dda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03326",
    "kind": "arxiv",
    "version": 2
  }
}