Pith Number

pith:GWBNMIST

pith:2013:GWBNMISTRDKHD23QJSFXPUHBBM

not attested not anchored not stored refs pending

Multiple solutions for a NLS equation with critical growth and magnetic field

Claudianor O. Alves, Giovany M. Figueiredo

arxiv:1304.4767 v1 · 2013-04-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWBNMISTRDKHD23QJSFXPUHBBM}

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	2026-05-18T03:27:43.749259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3582d6225388d471eb704c8b77d0e10b00a84c425f619c1a614d0db88f0052b7

Aliases

arxiv: 1304.4767 · arxiv_version: 1304.4767v1 · doi: 10.48550/arxiv.1304.4767 · pith_short_12: GWBNMISTRDKH · pith_short_16: GWBNMISTRDKHD23Q · pith_short_8: GWBNMIST

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/GWBNMISTRDKHD23QJSFXPUHBBM \
  | 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: 3582d6225388d471eb704c8b77d0e10b00a84c425f619c1a614d0db88f0052b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cccb6b8754b2b949ae126965356b70832b544efba7e0bff0ee4efe0e28fe4ed1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-17T11:06:48Z",
    "title_canon_sha256": "e52d3186769ff3b8de98d4629679e2338e85de68dd492ec7393f83ca6715d87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4767",
    "kind": "arxiv",
    "version": 1
  }
}