Pith Number

pith:D7VELX3M

pith:2007:D7VELX3MNGFBZ7NDRRWXPF2H2L

not attested not anchored not stored refs pending

Spiral Wave Solutions of One-dimensional Ginzburg-Landau Equation By Extended F-expansion Method

Xurong Chen

arxiv:0707.1736 v1 · 2007-07-12 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7VELX3MNGFBZ7NDRRWXPF2H2L}

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	2026-07-04T15:02:50.217040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fea45df6c698a1cfda38c6d779747d2e26891003def35f31a35ca4bb03751c4

Aliases

arxiv: 0707.1736 · arxiv_version: 0707.1736v1 · doi: 10.48550/arxiv.0707.1736 · pith_short_12: D7VELX3MNGFB · pith_short_16: D7VELX3MNGFBZ7ND · pith_short_8: D7VELX3M

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/D7VELX3MNGFBZ7NDRRWXPF2H2L \
  | 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: 1fea45df6c698a1cfda38c6d779747d2e26891003def35f31a35ca4bb03751c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "002f196e7d100e2efbbdeffa31f31dc79c3d69fc629ef7e04187af601b1182f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2007-07-12T05:16:17Z",
    "title_canon_sha256": "8f4bda8234f5a3dc72231d6c628b2707173e2319f1e922c657d73ff4f98f82ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1736",
    "kind": "arxiv",
    "version": 1
  }
}