Pith Number

pith:2KV4NXTC

pith:2014:2KV4NXTCDIN3BWORCP4VVOQ5BL

not attested not anchored not stored refs pending

Caffarelli-Kohn-Nirenberg type equations of fourth order with the critical exponent and Rellich potential

Mousomi Bhakta

arxiv:1403.1646 v3 · 2014-03-07 · 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{2KV4NXTCDIN3BWORCP4VVOQ5BL}

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	2026-05-18T01:10:11.107963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2abc6de621a1bb0d9d113f95aba1d0ad5d6b06550dd44e04dc2b508ee78198d

Aliases

arxiv: 1403.1646 · arxiv_version: 1403.1646v3 · doi: 10.48550/arxiv.1403.1646 · pith_short_12: 2KV4NXTCDIN3 · pith_short_16: 2KV4NXTCDIN3BWOR · pith_short_8: 2KV4NXTC

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/2KV4NXTCDIN3BWORCP4VVOQ5BL \
  | 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: d2abc6de621a1bb0d9d113f95aba1d0ad5d6b06550dd44e04dc2b508ee78198d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b12db9af11eca0b963fcc4fe9bea7b1a0201f625a5e6619d5150f28508c94d52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-07T03:42:08Z",
    "title_canon_sha256": "9e836b717ace08991d9698c7a0247576c55ec5d485615d261312ec3208eb0cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1646",
    "kind": "arxiv",
    "version": 3
  }
}