Pith Number

pith:GDMHM45S

pith:2013:GDMHM45S3OAP3FPND2NCBEIA7V

not attested not anchored not stored refs pending

Self-trapping and Josephson tunneling solutions to the nonlinear Schr\"odinger / Gross-Pitaevskii Equation

Jeremy L. Marzuola, Michael I. Weinstein, Roy H. Goodman

arxiv:1311.6715 v2 · 2013-11-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDMHM45S3OAP3FPND2NCBEIA7V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:44:47.554167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30d87673b2db80fd95ed1e9a209100fd5214db9280c04945b0c8d632f76be67f

Aliases

arxiv: 1311.6715 · arxiv_version: 1311.6715v2 · doi: 10.48550/arxiv.1311.6715 · pith_short_12: GDMHM45S3OAP · pith_short_16: GDMHM45S3OAP3FPN · pith_short_8: GDMHM45S

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/GDMHM45S3OAP3FPND2NCBEIA7V \
  | 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: 30d87673b2db80fd95ed1e9a209100fd5214db9280c04945b0c8d632f76be67f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0652c1fae24613f806718423e306e24d49565b03f70b619de598530f7115fc2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-26T15:58:00Z",
    "title_canon_sha256": "1ca516c132ddc11381088a4250b83a76d37b6ee37b8e6e79adfc32433b6bce1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6715",
    "kind": "arxiv",
    "version": 2
  }
}