Pith Number

pith:5VVPRUDL

pith:2016:5VVPRUDLPW2IWW3FHAD6OU2WCI

not attested not anchored not stored refs pending

On the Brezis-Nirenberg type critical problem for nonlinear Choquard equation

Fashun Gao, Minbo Yang

arxiv:1604.00826 v4 · 2016-04-04 · 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{5VVPRUDLPW2IWW3FHAD6OU2WCI}

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	2026-05-18T01:12:11.917609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6af8d06b7db48b5b653807e75356123d6df9d6cc2ab13ea26fb4a105d42a82

Aliases

arxiv: 1604.00826 · arxiv_version: 1604.00826v4 · doi: 10.48550/arxiv.1604.00826 · pith_short_12: 5VVPRUDLPW2I · pith_short_16: 5VVPRUDLPW2IWW3F · pith_short_8: 5VVPRUDL

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/5VVPRUDLPW2IWW3FHAD6OU2WCI \
  | 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: ed6af8d06b7db48b5b653807e75356123d6df9d6cc2ab13ea26fb4a105d42a82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c182f3f2ad663f39e8f514ffd33241c20952d4038aef06e00a7cdac5c5e445a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-04T11:53:44Z",
    "title_canon_sha256": "34f62fd41b438a86b8e99bcb5c853aefe1687ef8d3d33c74fcb3e487c1b9b37c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00826",
    "kind": "arxiv",
    "version": 4
  }
}