Pith Number

pith:ZOFU3GB4

pith:2017:ZOFU3GB4HUWK4GCNWC6E5SSB3Q

not attested not anchored not stored refs pending

Radial biharmonic $k-$Hessian equations: The critical dimension

Carlos Escudero, Pedro J. Torres

arxiv:1706.05684 v1 · 2017-06-18 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZOFU3GB4HUWK4GCNWC6E5SSB3Q}

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	2026-05-18T00:42:09.225346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb8b4d983c3d2cae184db0bc4eca41dc3c13faa506b56dc7572a853b258b4016

Aliases

arxiv: 1706.05684 · arxiv_version: 1706.05684v1 · doi: 10.48550/arxiv.1706.05684 · pith_short_12: ZOFU3GB4HUWK · pith_short_16: ZOFU3GB4HUWK4GCN · pith_short_8: ZOFU3GB4

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/ZOFU3GB4HUWK4GCNWC6E5SSB3Q \
  | 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: cb8b4d983c3d2cae184db0bc4eca41dc3c13faa506b56dc7572a853b258b4016

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a02be75a85fbdc9637a793db586c789c4c0f6e0c2e8fed249c3badea05327bca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-18T16:35:26Z",
    "title_canon_sha256": "3859d47f3bdde50b50fa5bd757e10eba15ebf82171952f14320fead6da78eb03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05684",
    "kind": "arxiv",
    "version": 1
  }
}