Pith Number

pith:CSITJVDD

pith:2019:CSITJVDDVGLDCDHPEKXQ2REOO6

not attested not anchored not stored refs pending

Existence of solutions for critical Choquard problem with singular coefficients

Yang Yang, Yong Wang, Yuling Wang

arxiv:1905.08401 v1 · 2019-05-21 · 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{CSITJVDDVGLDCDHPEKXQ2REOO6}

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	2026-05-17T23:45:43.336272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

149134d463a996310cef22af0d448e7783b54a8e905501116e1b9c725c7cf6f5

Aliases

arxiv: 1905.08401 · arxiv_version: 1905.08401v1 · doi: 10.48550/arxiv.1905.08401 · pith_short_12: CSITJVDDVGLD · pith_short_16: CSITJVDDVGLDCDHP · pith_short_8: CSITJVDD

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/CSITJVDDVGLDCDHPEKXQ2REOO6 \
  | 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: 149134d463a996310cef22af0d448e7783b54a8e905501116e1b9c725c7cf6f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eb16d3d68b74a5ba8f99318d1f6d8fd4aab15aea9235d7f65434476f016fae5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-21T01:46:49Z",
    "title_canon_sha256": "f5367c2917ab22bf36d5add373aa541ea17c2fb783b5e20f91394b82bc35f0bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08401",
    "kind": "arxiv",
    "version": 1
  }
}