Pith Number

pith:5X4WPQ3E

pith:2019:5X4WPQ3EENIWK5CBWBLS6ID7E4

not attested not anchored not stored refs pending

Space-time coupled evolution equations and their stochastic solutions

Ifan Johnston, John Herman, Lorenzo Toniazzi

arxiv:1903.04052 v1 · 2019-03-10 · 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{5X4WPQ3EENIWK5CBWBLS6ID7E4}

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	2026-05-17T23:51:40.202606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edf967c3642351657441b0572f207f27150c9c0b4e98c98e6e06da466820d76f

Aliases

arxiv: 1903.04052 · arxiv_version: 1903.04052v1 · doi: 10.48550/arxiv.1903.04052 · pith_short_12: 5X4WPQ3EENIW · pith_short_16: 5X4WPQ3EENIWK5CB · pith_short_8: 5X4WPQ3E

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/5X4WPQ3EENIWK5CBWBLS6ID7E4 \
  | 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: edf967c3642351657441b0572f207f27150c9c0b4e98c98e6e06da466820d76f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d52b2207f76dded76f689d982ea69862cec56c6443bab1fb3881e528e1ae4c8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-10T20:08:25Z",
    "title_canon_sha256": "fe3f045020464c4c4cf91e4af32734f311e8fb6393646b6f3ca2b79f8071b127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04052",
    "kind": "arxiv",
    "version": 1
  }
}