Pith Number

pith:XYNW6WZF

pith:2012:XYNW6WZFZYLDJCTKX6CBX3QINC

not attested not anchored not stored refs pending

Existence of groundstates for a class of nonlinear Choquard equations

Jean Van Schaftingen, Vitaly Moroz

arxiv:1212.2027 v1 · 2012-12-10 · 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{XYNW6WZFZYLDJCTKX6CBX3QINC}

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	2026-05-18T01:36:39.166463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1b6f5b25ce16348a6abf841bee0868b2ebb524f78f3b2d9fb587e71b2b7ff0

Aliases

arxiv: 1212.2027 · arxiv_version: 1212.2027v1 · doi: 10.48550/arxiv.1212.2027 · pith_short_12: XYNW6WZFZYLD · pith_short_16: XYNW6WZFZYLDJCTK · pith_short_8: XYNW6WZF

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/XYNW6WZFZYLDJCTKX6CBX3QINC \
  | 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: be1b6f5b25ce16348a6abf841bee0868b2ebb524f78f3b2d9fb587e71b2b7ff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75fa2caf1e2b3bed99a47fbe85d45c139e3dedd4b0f6190b0866484d5ef672a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-10T10:48:50Z",
    "title_canon_sha256": "b7e9ed71d2d8bd203e1fc224a00238c1fe3935e3bf884152aaa189ac7193b6cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2027",
    "kind": "arxiv",
    "version": 1
  }
}