Pith Number

pith:GLNEQUHN

pith:2016:GLNEQUHNFBHFDOICBOOF4HXD5K

not attested not anchored not stored refs pending

Existence of solutions for a class of nonlinear Choquard equations with critical growth

Yong Ao

arxiv:1608.07064 v2 · 2016-08-25 · 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{GLNEQUHNFBHFDOICBOOF4HXD5K}

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	2026-05-18T01:04:27.131637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32da4850ed284e51b9020b9c5e1ee3ea9816993fd5910092fdf6fa9cadf0ae44

Aliases

arxiv: 1608.07064 · arxiv_version: 1608.07064v2 · doi: 10.48550/arxiv.1608.07064 · pith_short_12: GLNEQUHNFBHF · pith_short_16: GLNEQUHNFBHFDOIC · pith_short_8: GLNEQUHN

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/GLNEQUHNFBHFDOICBOOF4HXD5K \
  | 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: 32da4850ed284e51b9020b9c5e1ee3ea9816993fd5910092fdf6fa9cadf0ae44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1359666e54fe4476a1319c54e71f0239be5a3189b09422d924d8ecfb233ff93d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-25T09:39:39Z",
    "title_canon_sha256": "3467f56437ef1e765fe262e01b1f2743dac4993f1fb87dc60767351f6274321f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07064",
    "kind": "arxiv",
    "version": 2
  }
}