Pith Number

pith:S3QN7QSS

pith:2017:S3QN7QSS2IBT4QHWTYNJKEG6F2

not attested not anchored not stored refs pending

A fractional Kirchhoff problem involving a singular term and a critical nonlinearity

Alessio Fiscella

arxiv:1703.07861 v1 · 2017-03-22 · 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{S3QN7QSS2IBT4QHWTYNJKEG6F2}

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	2026-05-18T00:48:04.608642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96e0dfc252d2033e40f69e1a9510de2eab4a48d637fd81be7afdb00de1a3c5fd

Aliases

arxiv: 1703.07861 · arxiv_version: 1703.07861v1 · doi: 10.48550/arxiv.1703.07861 · pith_short_12: S3QN7QSS2IBT · pith_short_16: S3QN7QSS2IBT4QHW · pith_short_8: S3QN7QSS

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/S3QN7QSS2IBT4QHWTYNJKEG6F2 \
  | 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: 96e0dfc252d2033e40f69e1a9510de2eab4a48d637fd81be7afdb00de1a3c5fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f05f949ee01668264e4bbed8eaacd25c3859c0163f4a883fee2c722f2abb1910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-22T21:24:09Z",
    "title_canon_sha256": "50c2d1f36212820f3de800c98271ac1000e0fd8bd3a5e1148f2844d54442dd55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07861",
    "kind": "arxiv",
    "version": 1
  }
}