Pith Number

pith:XYC3ZI7N

pith:2016:XYC3ZI7NMNCAGS5NOUWX73M6II

not attested not anchored not stored refs pending

Polyharmonic $k-$Hessian equations in $\mathbb{R}^N$

Carlos Escudero, Pedro Balodis

arxiv:1603.09392 v3 · 2016-03-30 · math.AP · math.CA · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYC3ZI7NMNCAGS5NOUWX73M6II}

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	2026-05-18T00:10:04.478838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be05bca3ed6344034bad752d7fed9e421e4fee91e0a0e15a75b1d95f324d72a7

Aliases

arxiv: 1603.09392 · arxiv_version: 1603.09392v3 · doi: 10.48550/arxiv.1603.09392 · pith_short_12: XYC3ZI7NMNCA · pith_short_16: XYC3ZI7NMNCAGS5N · pith_short_8: XYC3ZI7N

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/XYC3ZI7NMNCAGS5NOUWX73M6II \
  | 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: be05bca3ed6344034bad752d7fed9e421e4fee91e0a0e15a75b1d95f324d72a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81c65ffd1fda434f7b57ca6c0565ef3d4749264351126d549c52833697999feb",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-30T21:39:32Z",
    "title_canon_sha256": "1bc4af06b82ea0654654127788b09bed3030eafa9ad21709cc235eb031341a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09392",
    "kind": "arxiv",
    "version": 3
  }
}