Pith Number

pith:WKQ2UKIN

pith:2017:WKQ2UKINEJ6GM3ZL2X2CUYMVP7

not attested not anchored not stored refs pending

Multiple positive bound states for the subcritical NLS equation on metric graphs

Enrico Serra, Paolo Tilli, Riccardo Adami

arxiv:1706.07654 v1 · 2017-06-23 · math.AP · math-ph · 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{WKQ2UKINEJ6GM3ZL2X2CUYMVP7}

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	2026-05-18T00:41:48.537087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2a1aa290d227c666f2bd5f42a61957feee622bd0df8f2361c6ff50920d35ef0

Aliases

arxiv: 1706.07654 · arxiv_version: 1706.07654v1 · doi: 10.48550/arxiv.1706.07654 · pith_short_12: WKQ2UKINEJ6G · pith_short_16: WKQ2UKINEJ6GM3ZL · pith_short_8: WKQ2UKIN

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/WKQ2UKINEJ6GM3ZL2X2CUYMVP7 \
  | 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: b2a1aa290d227c666f2bd5f42a61957feee622bd0df8f2361c6ff50920d35ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbfff23f0c95f435300df1ed7b9813aeaacf1bf8aa6ac65ac21bb81b210f37c3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-23T12:08:36Z",
    "title_canon_sha256": "f4dbac8b1fb30404dba5202ad954e2194a7551808a8d2be17914cc68bc31a839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07654",
    "kind": "arxiv",
    "version": 1
  }
}