Pith Number

pith:3WRRX32I

pith:1998:3WRRX32IOD5WEKVDXTGAHMZACP

not attested not anchored not stored refs pending

Theory of Spike Spiral Waves in a Reaction-Diffusion System

C. B. Muratov, V. V. Osipov

arxiv:patt-sol/9808004 v1 · 1998-08-11 · patt-sol · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WRRX32IOD5WEKVDXTGAHMZACP}

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	2026-05-18T01:05:17.411889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda31bef4870fb622aa3bccc03b32013f532b2302a606b2688bcb38097fd4010

Aliases

arxiv: patt-sol/9808004 · arxiv_version: patt-sol/9808004v1 · doi: 10.48550/arxiv.patt-sol/9808004 · pith_short_12: 3WRRX32IOD5W · pith_short_16: 3WRRX32IOD5WEKVD · pith_short_8: 3WRRX32I

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/3WRRX32IOD5WEKVDXTGAHMZACP \
  | 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: dda31bef4870fb622aa3bccc03b32013f532b2302a606b2688bcb38097fd4010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7187d9ad81c32077b2ebbff6e67a0f6b1f8f65b4d820ff8ff08e88fcacc308",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "",
    "primary_cat": "patt-sol",
    "submitted_at": "1998-08-11T00:32:08Z",
    "title_canon_sha256": "e8efeb1ac45e0a525be95763f6e0f3992658b9efaace26ecbe27f0701109fab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "patt-sol/9808004",
    "kind": "arxiv",
    "version": 1
  }
}