Pith Number

pith:4X6QVQ3G

pith:2017:4X6QVQ3GCHZFBFXDARZACL5BFN

not attested not anchored not stored refs pending

On the numerical approximation of $p$-Biharmonic and $\infty$-Biharmonic functions

Nikos Katzourakis (Reading, Tristan Pryer (Reading, UK)

arxiv:1701.07415 v2 · 2017-01-25 · math.NA · 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{4X6QVQ3GCHZFBFXDARZACL5BFN}

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	2026-05-18T00:16:09.354623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5fd0ac36611f25096e30472012fa12b5fb27bfdf85febaf66b4793e34a992c1

Aliases

arxiv: 1701.07415 · arxiv_version: 1701.07415v2 · doi: 10.48550/arxiv.1701.07415 · pith_short_12: 4X6QVQ3GCHZF · pith_short_16: 4X6QVQ3GCHZFBFXD · pith_short_8: 4X6QVQ3G

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/4X6QVQ3GCHZFBFXDARZACL5BFN \
  | 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: e5fd0ac36611f25096e30472012fa12b5fb27bfdf85febaf66b4793e34a992c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62af716825e7012910b42b85af971dd92531c2ec999f59b9430b2233ff21a501",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-01-25T18:20:29Z",
    "title_canon_sha256": "0c118c2bc1997de8dc5c6f8d21922ee7a78ae97d43c446d2e7251f2fe7f69538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07415",
    "kind": "arxiv",
    "version": 2
  }
}