Pith Number

pith:TTW4OY4C

pith:2003:TTW4OY4CMEPHCZ5G7OEXNRT2FN

not attested not anchored not stored refs pending

Exact Phase Solutions of Nonlinear Oscillators on Two-dimensional Lattice

Hiroyasu Yamada, Kazuhiro Nozaki, Tsunehiro Yokoi

arxiv:nlin/0309009 v1 · 2003-09-04 · nlin.PS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTW4OY4CMEPHCZ5G7OEXNRT2FN}

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	2026-05-18T01:05:21.950081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cedc76382611e7167a6fb8976c67a2b4abf4c8ba5c088297d71457901ded2a2

Aliases

arxiv: nlin/0309009 · arxiv_version: nlin/0309009v1 · doi: 10.48550/arxiv.nlin/0309009 · pith_short_12: TTW4OY4CMEPH · pith_short_16: TTW4OY4CMEPHCZ5G · pith_short_8: TTW4OY4C

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/TTW4OY4CMEPHCZ5G7OEXNRT2FN \
  | 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: 9cedc76382611e7167a6fb8976c67a2b4abf4c8ba5c088297d71457901ded2a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bae3254138ff5980934bee43feb9d0a6ea17f896272895700d3837eca1ebc580",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "nlin.PS",
    "submitted_at": "2003-09-04T02:50:21Z",
    "title_canon_sha256": "3b66cec2c0c2093a0caff3b6210b1b3357fa883bee127c15c744df708f3756a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0309009",
    "kind": "arxiv",
    "version": 1
  }
}