Pith Number

pith:YSQAE4TR

pith:2019:YSQAE4TRMAZQMSZACH2LGCPETL

not attested not anchored not stored refs pending

Phase reduction beyond the first order: the case of the mean-field complex Ginzburg-Landau equation

Diego Paz\'o, Iv\'an Le\'on

arxiv:1907.02276 v2 · 2019-07-04 · nlin.AO · 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{YSQAE4TRMAZQMSZACH2LGCPETL}

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	2026-05-17T23:40:03.190082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4a00272716033064b2011f4b309e49ac03230476de132559dfef48e71c16be2

Aliases

arxiv: 1907.02276 · arxiv_version: 1907.02276v2 · doi: 10.48550/arxiv.1907.02276 · pith_short_12: YSQAE4TRMAZQ · pith_short_16: YSQAE4TRMAZQMSZA · pith_short_8: YSQAE4TR

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/YSQAE4TRMAZQMSZACH2LGCPETL \
  | 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: c4a00272716033064b2011f4b309e49ac03230476de132559dfef48e71c16be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f0557a3823bd8ebc3691916e1b0252dfcb0dd877203134f4a18d33a7df4ccbf",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2019-07-04T08:39:59Z",
    "title_canon_sha256": "ed1ff23fd9667c6447563e6a06a5da62186341d2e56192eb2ffcd9135d370a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02276",
    "kind": "arxiv",
    "version": 2
  }
}