Pith Number

pith:IUYA7NLG

pith:2015:IUYA7NLGJOFYMTVQJPHGEVZLYJ

not attested not anchored not stored refs pending

On polyharmonic regularizations of $k-$Hessian equations: Variational methods

Carlos Escudero

arxiv:1507.05435 v1 · 2015-07-20 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IUYA7NLGJOFYMTVQJPHGEVZLYJ}

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	2026-05-18T01:36:36.810194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45300fb5664b8b864eb04bce62572bc25b702cced2be5b8b5176ef8a2437bd8e

Aliases

arxiv: 1507.05435 · arxiv_version: 1507.05435v1 · doi: 10.48550/arxiv.1507.05435 · pith_short_12: IUYA7NLGJOFY · pith_short_16: IUYA7NLGJOFYMTVQ · pith_short_8: IUYA7NLG

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/IUYA7NLGJOFYMTVQJPHGEVZLYJ \
  | 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: 45300fb5664b8b864eb04bce62572bc25b702cced2be5b8b5176ef8a2437bd8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ef3e768db30f4cc6219405eab13cefd5e4fef639833032a85b1d0a9970b208b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-20T10:28:04Z",
    "title_canon_sha256": "cc5a024e2092f9f22d95f5800b73ec7f8a1a48361df4e8400717ec42928be66f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05435",
    "kind": "arxiv",
    "version": 1
  }
}