Pith Number

pith:QXOLU3GP

pith:2010:QXOLU3GPJE2S5FGPPYRABBMTXV

not attested not anchored not stored refs pending

Symmetry-breaking bifurcation in the nonlinear Schr\"{o}dinger equation with symmetric potentials

D. E. Pelinovsky, E. Kirr, P. G. Kevrekidis

arxiv:1012.3921 v1 · 2010-12-17 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXOLU3GPJE2S5FGPPYRABBMTXV}

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	2026-05-18T02:04:23.026374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85dcba6ccf49352e94cf7e22008593bd6536416d51e1b51760e0468d3620d865

Aliases

arxiv: 1012.3921 · arxiv_version: 1012.3921v1 · doi: 10.48550/arxiv.1012.3921 · pith_short_12: QXOLU3GPJE2S · pith_short_16: QXOLU3GPJE2S5FGP · pith_short_8: QXOLU3GP

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/QXOLU3GPJE2S5FGPPYRABBMTXV \
  | 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: 85dcba6ccf49352e94cf7e22008593bd6536416d51e1b51760e0468d3620d865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28fd55221471cf3053032b3604c33e5679b8419652d49eab9d133e469fb3c43f",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-17T16:39:56Z",
    "title_canon_sha256": "550e70e01e49f76f01dce04df526d02895846bbb271cd5f203cc1a5e8d37b2d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3921",
    "kind": "arxiv",
    "version": 1
  }
}