pith. sign in
Pith Number

pith:U6ZPAKUS

pith:2015:U6ZPAKUSYW2ERPJP6JRXQJVACI
not attested not anchored not stored refs pending

Least action nodal solutions for the quadratic Choquard equation

Jean Van Schaftingen, Marco Ghimenti, Vitaly Moroz

arxiv:1511.04779 v2 · 2015-11-15 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{U6ZPAKUSYW2ERPJP6JRXQJVACI}

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 2026-05-18T00:41:08.351632Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a7b2f02a92c5b448bd2ff2637826a012080a4745da39a2a9fdcd92ecb6cba986

Aliases

arxiv: 1511.04779 · arxiv_version: 1511.04779v2 · doi: 10.48550/arxiv.1511.04779 · pith_short_12: U6ZPAKUSYW2E · pith_short_16: U6ZPAKUSYW2ERPJP · pith_short_8: U6ZPAKUS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/U6ZPAKUSYW2ERPJP6JRXQJVACI \
  | 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: a7b2f02a92c5b448bd2ff2637826a012080a4745da39a2a9fdcd92ecb6cba986
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4972c4542ee634ea61d0d4dd794bdf957552a84c57cffec18231ad33e18ed4d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-15T23:15:57Z",
    "title_canon_sha256": "721e4472460f8ff9342632e42e02ea2d853eb27e8f742570d4cebf2eb28c3e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04779",
    "kind": "arxiv",
    "version": 2
  }
}