Pith Number

pith:ZXGBWTBC

pith:2013:ZXGBWTBCME5DWUNMB4GXSRQHF6

not attested not anchored not stored refs pending

Multiplicity of normalized solutions for a class of nonlinear Schrodinger-Poisson-Slater equations

Tingjian Luo

arxiv:1309.7142 v2 · 2013-09-27 · 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{ZXGBWTBCME5DWUNMB4GXSRQHF6}

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	2026-05-18T03:08:58.472448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdcc1b4c22613a3b51ac0f0d7946072f814e087af8d22a6e1c969357f340db8f

Aliases

arxiv: 1309.7142 · arxiv_version: 1309.7142v2 · doi: 10.48550/arxiv.1309.7142 · pith_short_12: ZXGBWTBCME5D · pith_short_16: ZXGBWTBCME5DWUNM · pith_short_8: ZXGBWTBC

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/ZXGBWTBCME5DWUNMB4GXSRQHF6 \
  | 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: cdcc1b4c22613a3b51ac0f0d7946072f814e087af8d22a6e1c969357f340db8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b3c556328c643665529000b9d65a64d46b053efc288660127766a2baf061daf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-27T08:18:29Z",
    "title_canon_sha256": "b4cd599085529526c711906c77c0050162d019a1daf69933cfa34d6359595ab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7142",
    "kind": "arxiv",
    "version": 2
  }
}