Pith Number

pith:PGXADQWO

pith:2011:PGXADQWOJI227UJ3PAPGBWSOYW

not attested not anchored not stored refs pending

Multiple solutions to a magnetic nonlinear Choquard equation

M\'onica Clapp, Silvia Cingolani, Simone Secchi

arxiv:1109.1386 v1 · 2011-09-07 · 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{PGXADQWOJI227UJ3PAPGBWSOYW}

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	2026-05-18T02:00:38.550842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79ae01c2ce4a35afd13b781e60da4ec59fedab651985cc55d788d7d15d5679ff

Aliases

arxiv: 1109.1386 · arxiv_version: 1109.1386v1 · doi: 10.48550/arxiv.1109.1386 · pith_short_12: PGXADQWOJI22 · pith_short_16: PGXADQWOJI227UJ3 · pith_short_8: PGXADQWO

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/PGXADQWOJI227UJ3PAPGBWSOYW \
  | 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: 79ae01c2ce4a35afd13b781e60da4ec59fedab651985cc55d788d7d15d5679ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f3037aec7dfe76eedada3c22345700b60aee7e1ca1d97b9912c133e8876b975",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-07T08:17:30Z",
    "title_canon_sha256": "31b35d7ce521331517ddfc848eb9843fe0c360b866502e9508fc5ff83adfea08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1386",
    "kind": "arxiv",
    "version": 1
  }
}