Pith Number

pith:MZLFKY46

pith:2016:MZLFKY463OKXLLU5BTT3UCQRKI

not attested not anchored not stored refs pending

Semilinear nonlocal elliptic equations with critical and supercritical exponents

Debangana Mukherjee, Mousomi Bhakta

arxiv:1608.07654 v7 · 2016-08-27 · 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{MZLFKY463OKXLLU5BTT3UCQRKI}

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	2026-05-17T23:54:57.035851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

665655639edb9575ae9d0ce7ba0a1152101d29f0632bdda3fadad53261502ec4

Aliases

arxiv: 1608.07654 · arxiv_version: 1608.07654v7 · doi: 10.48550/arxiv.1608.07654 · pith_short_12: MZLFKY463OKX · pith_short_16: MZLFKY463OKXLLU5 · pith_short_8: MZLFKY46

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/MZLFKY463OKXLLU5BTT3UCQRKI \
  | 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: 665655639edb9575ae9d0ce7ba0a1152101d29f0632bdda3fadad53261502ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bbc179806338f341125e22174998baba773b2287f506f0e2c81ce22c2e2b30a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-27T03:09:00Z",
    "title_canon_sha256": "caf990e481204f83eea441ba87450ce50190f479fd4a521b8832afe47006f541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07654",
    "kind": "arxiv",
    "version": 7
  }
}