Pith Number

pith:FJUT7GTN

pith:2019:FJUT7GTNWZ3V6FBV2F5V6I647T

not attested not anchored not stored refs pending

Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity

Divya Goel, K. Sreenadh

arxiv:1901.11310 v1 · 2019-01-31 · 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{FJUT7GTNWZ3V6FBV2F5V6I647T}

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	2026-05-17T23:55:02.227577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a693f9a6db6775f1435d17b5f23dcfcffa5593a3c6429863a08ad3ae5dcb35d

Aliases

arxiv: 1901.11310 · arxiv_version: 1901.11310v1 · doi: 10.48550/arxiv.1901.11310 · pith_short_12: FJUT7GTNWZ3V · pith_short_16: FJUT7GTNWZ3V6FBV · pith_short_8: FJUT7GTN

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/FJUT7GTNWZ3V6FBV2F5V6I647T \
  | 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: 2a693f9a6db6775f1435d17b5f23dcfcffa5593a3c6429863a08ad3ae5dcb35d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "275c7ec44711755e88a38534b6c7dde5cd013608aebaa89d9845e0fd63b2e758",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-31T11:28:10Z",
    "title_canon_sha256": "de4516908199e69c5bc59679cdc9594b54e2f0135f4bc7b7429df568eb88e634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11310",
    "kind": "arxiv",
    "version": 1
  }
}