Pith Number

pith:3C4QWUMT

pith:2012:3C4QWUMTYHNQ3IDLWRBP3A5TSK

not attested not anchored not stored refs pending

Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization

Houman Owhadi, Lei Zhang, Leonid Berlyand

arxiv:1212.0812 v2 · 2012-12-04 · 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{3C4QWUMTYHNQ3IDLWRBP3A5TSK}

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	2026-05-17T23:53:35.944355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b90b5193c1db0da06bb442fd83b3929ed92b157e6ef3b0ae1c711d0e0175ad

Aliases

arxiv: 1212.0812 · arxiv_version: 1212.0812v2 · doi: 10.48550/arxiv.1212.0812 · pith_short_12: 3C4QWUMTYHNQ · pith_short_16: 3C4QWUMTYHNQ3IDL · pith_short_8: 3C4QWUMT

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/3C4QWUMTYHNQ3IDLWRBP3A5TSK \
  | 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: d8b90b5193c1db0da06bb442fd83b3929ed92b157e6ef3b0ae1c711d0e0175ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04b03ad309d0daff74eec32634fbe36d2d1321a2eada10a977659cd133351e77",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-04T18:13:28Z",
    "title_canon_sha256": "e4c53cc279d8d9eeaefb277d2db774ed83545da2f44dbbcad02672887586b1ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0812",
    "kind": "arxiv",
    "version": 2
  }
}