Pith Number

pith:3SQOKP4L

pith:2015:3SQOKP4LN2XVGOAQX34KUIZWTC

not attested not anchored not stored refs pending

Analytical, Optimal, and Sparse Optimal Control of Traveling Wave Solutions to Reaction-Diffusion Systems

Christopher Ryll, Fredi Tr\"oltzsch, Harald Engel, Jakob L\"ober, Steffen Martens

arxiv:1507.08133 v3 · 2015-07-29 · nlin.PS · math-ph · math.MP · nlin.AO · physics.bio-ph · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SQOKP4LN2XVGOAQX34KUIZWTC}

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	2026-05-18T01:16:29.660427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca0e53f8b6eaf533810bef8aa233698805661adcc8bb361035de66c0feb9748

Aliases

arxiv: 1507.08133 · arxiv_version: 1507.08133v3 · doi: 10.48550/arxiv.1507.08133 · pith_short_12: 3SQOKP4LN2XV · pith_short_16: 3SQOKP4LN2XVGOAQ · pith_short_8: 3SQOKP4L

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/3SQOKP4LN2XVGOAQX34KUIZWTC \
  | 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: dca0e53f8b6eaf533810bef8aa233698805661adcc8bb361035de66c0feb9748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9aa75f05a592924fe8761f759de13f212e3b6510480c36b90733f6eaecd088",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.AO",
      "physics.bio-ph",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2015-07-29T13:18:03Z",
    "title_canon_sha256": "c102d1c96d17e20e464d6b85d4caba19ee1d05673f11ba4578f3da24ee68a514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08133",
    "kind": "arxiv",
    "version": 3
  }
}