Pith Number

pith:2MDT6TJN

pith:2015:2MDT6TJN7RDSXOFDBU6A7QTXUJ

not attested not anchored not stored refs pending

Semilinear elliptic PDE's with biharmonic operator and a singular potential

Mousomi Bhakta

arxiv:1506.01122 v2 · 2015-06-03 · 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{2MDT6TJN7RDSXOFDBU6A7QTXUJ}

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	2026-05-18T01:33:15.622026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3073f4d2dfc472bb8a30d3c0fc277a279819c813c708f8042af55e2ca632e35

Aliases

arxiv: 1506.01122 · arxiv_version: 1506.01122v2 · doi: 10.48550/arxiv.1506.01122 · pith_short_12: 2MDT6TJN7RDS · pith_short_16: 2MDT6TJN7RDSXOFD · pith_short_8: 2MDT6TJN

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/2MDT6TJN7RDSXOFDBU6A7QTXUJ \
  | 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: d3073f4d2dfc472bb8a30d3c0fc277a279819c813c708f8042af55e2ca632e35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f55589795c5ca43860d0cc86d072dfa035c31f131747e8debf34aa11b6762903",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-03T04:47:32Z",
    "title_canon_sha256": "9f99f836aa257f842c63aa8f9690de71cbc2bb5ff75050bddbd59b47c50f1259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01122",
    "kind": "arxiv",
    "version": 2
  }
}