Pith Number

pith:5OKX65OV

pith:2013:5OKX65OVTGJBN3RTEIM2YWMDPE

not attested not anchored not stored refs pending

Pattern formation in terms of semiclassically limited distribution on lower-dimensional manifolds for nonlocal Fisher--Kolmogorov--Petrovskii--Piskunov equation

A.V. Shapovalov, A.Yu Trifonov, E.A. Levchenko

arxiv:1306.3765 v1 · 2013-06-17 · 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{5OKX65OVTGJBN3RTEIM2YWMDPE}

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	2026-05-18T01:49:16.331226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb957f75d5999216ee332219ac5983792654284ebc1365f373cc12e196ef216c

Aliases

arxiv: 1306.3765 · arxiv_version: 1306.3765v1 · doi: 10.48550/arxiv.1306.3765 · pith_short_12: 5OKX65OVTGJB · pith_short_16: 5OKX65OVTGJBN3RT · pith_short_8: 5OKX65OV

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/5OKX65OVTGJBN3RTEIM2YWMDPE \
  | 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: eb957f75d5999216ee332219ac5983792654284ebc1365f373cc12e196ef216c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84fe4327f2d51dd53cf12a85ae53c2cc337d27b2edb1a09393c42e6cd51cd31f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-17T08:30:40Z",
    "title_canon_sha256": "322c5b357abc1f6184e0d739a9082dfbe9a67cea54f00a6c0cc55da7fc9ff2d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3765",
    "kind": "arxiv",
    "version": 1
  }
}