Pith Number

pith:7UDHSO2N

pith:2018:7UDHSO2N4C4HVSMXNE7ULJK4BL

not attested not anchored not stored refs pending

$L^2$-critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features

Lorenzo Tentarelli, Simone Dovetta

arxiv:1811.02387 v2 · 2018-11-06 · 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{7UDHSO2N4C4HVSMXNE7ULJK4BL}

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	2026-05-17T23:43:56.440214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd06793b4de0b87ac997693f45a55c0affdaf544d2a254fa09c8011de8682e99

Aliases

arxiv: 1811.02387 · arxiv_version: 1811.02387v2 · doi: 10.48550/arxiv.1811.02387 · pith_short_12: 7UDHSO2N4C4H · pith_short_16: 7UDHSO2N4C4HVSMX · pith_short_8: 7UDHSO2N

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/7UDHSO2N4C4HVSMXNE7ULJK4BL \
  | 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: fd06793b4de0b87ac997693f45a55c0affdaf544d2a254fa09c8011de8682e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fdedb41ebc3b5a4b3a73f2aacf6c0a2568857dd2e1085d20fa1c320b0ac0cd9",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-06T14:57:56Z",
    "title_canon_sha256": "8aa583def8d2f01799d830f3444eea7ce9f6ca9c269d9bea9dc8099d272a7759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02387",
    "kind": "arxiv",
    "version": 2
  }
}