Pith Number

pith:IKVTR6VH

pith:2013:IKVTR6VH5SF5D7M6JKJIHPWAOM

not attested not anchored not stored refs pending

Entire solutions for a class of elliptic equations involving $p$-biharmonic operator and Rellich potentials

Mousomi Bhakta

arxiv:1311.0356 v4 · 2013-11-02 · 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{IKVTR6VH5SF5D7M6JKJIHPWAOM}

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	2026-05-18T02:20:10.752962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ab38faa7ec8bd1fd9e4a9283bec073340083b84ba2ee4f8fc62d1e4c945d70

Aliases

arxiv: 1311.0356 · arxiv_version: 1311.0356v4 · doi: 10.48550/arxiv.1311.0356 · pith_short_12: IKVTR6VH5SF5 · pith_short_16: IKVTR6VH5SF5D7M6 · pith_short_8: IKVTR6VH

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/IKVTR6VH5SF5D7M6JKJIHPWAOM \
  | 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: 42ab38faa7ec8bd1fd9e4a9283bec073340083b84ba2ee4f8fc62d1e4c945d70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03da84877b62abfdfd4f13c64e3dc5e4fcb0f58af035d3da869ffe275e9620dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-02T08:46:44Z",
    "title_canon_sha256": "0c0a1a736d73b69521364749560b4e0038423cf21ce46af8272ed8d249ffdf81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0356",
    "kind": "arxiv",
    "version": 4
  }
}