Pith Number

pith:UGLX5Q7V

pith:2019:UGLX5Q7VBZEA4Q7COXBIEQQBWF

not attested not anchored not stored refs pending

An overview on the standing waves of nonlinear Schr\"odinger and Dirac equations on metric graphs with localized nonlinearity

Lorenzo Tentarelli, Raffaele Carlone, William Borrelli

arxiv:1901.02696 v1 · 2019-01-09 · math.AP · math-ph · math.FA · 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{UGLX5Q7VBZEA4Q7COXBIEQQBWF}

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	2026-05-17T23:54:47.910275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1977ec3f50e480e43e275c2824201b17e64cf87249e3c62ee3e3db4f7f9befa

Aliases

arxiv: 1901.02696 · arxiv_version: 1901.02696v1 · doi: 10.48550/arxiv.1901.02696 · pith_short_12: UGLX5Q7VBZEA · pith_short_16: UGLX5Q7VBZEA4Q7C · pith_short_8: UGLX5Q7V

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/UGLX5Q7VBZEA4Q7COXBIEQQBWF \
  | 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: a1977ec3f50e480e43e275c2824201b17e64cf87249e3c62ee3e3db4f7f9befa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d46c4b8f93eaabca4ac85c1eb747e4c33107c9134cf4ed99a05885309915c3b",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-09T12:33:02Z",
    "title_canon_sha256": "a534228a83204ce08b29f77ac306f4715c2cbd80292521346b4a9312116ea482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02696",
    "kind": "arxiv",
    "version": 1
  }
}