Pith Number

pith:DHF6PIJK

pith:2016:DHF6PIJKNCCUPJOPISZVQMIPWP

not attested not anchored not stored refs pending

Existence and Concentration Solutions for a class of elliptic PDEs involving $p$-biharmonic Operator

Debajyoti Choudhuri, Ratan Kr Giri, Shesadev Pradhan

arxiv:1606.02512 v2 · 2016-06-08 · 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{DHF6PIJKNCCUPJOPISZVQMIPWP}

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	2026-05-18T00:53:02.523858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19cbe7a12a688547a5cf44b358310fb3f45e65b9e7aac4869725c36ecffb9ea7

Aliases

arxiv: 1606.02512 · arxiv_version: 1606.02512v2 · doi: 10.48550/arxiv.1606.02512 · pith_short_12: DHF6PIJKNCCU · pith_short_16: DHF6PIJKNCCUPJOP · pith_short_8: DHF6PIJK

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/DHF6PIJKNCCUPJOPISZVQMIPWP \
  | 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: 19cbe7a12a688547a5cf44b358310fb3f45e65b9e7aac4869725c36ecffb9ea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89484fc0d176e1fdac26f0c575f772eee864e6a63aacc9f3b6d19a59a3446d46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-08T11:21:35Z",
    "title_canon_sha256": "d4e6c757a8989945db59970c8bf4cf42960560ce35cb326c88fd7b4cdf1b65b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02512",
    "kind": "arxiv",
    "version": 2
  }
}