Pith Number

pith:WVIPNXKI

pith:2022:WVIPNXKINMP5S35OEK766IACOZ

not attested not anchored not stored refs pending

Computing Euclidean distance and maximum likelihood retraction maps for constrained optimization

Alexander Heaton, Matthias Himmelmann

arxiv:2206.14106 v2 · 2022-06-27 · math.ST · math.OC · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WVIPNXKINMP5S35OEK766IACOZ}

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	2026-07-05T05:34:01.669043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b550f6dd486b1fd96fae22bfef2002766a8ee9033dd267ea1f9a39a2fd9a3931

Aliases

arxiv: 2206.14106 · arxiv_version: 2206.14106v2 · doi: 10.48550/arxiv.2206.14106 · pith_short_12: WVIPNXKINMP5 · pith_short_16: WVIPNXKINMP5S35O · pith_short_8: WVIPNXKI

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/WVIPNXKINMP5S35OEK766IACOZ \
  | 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: b550f6dd486b1fd96fae22bfef2002766a8ee9033dd267ea1f9a39a2fd9a3931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08bfc29a7a38cbb3bfc92cf98f1c9a064c53944d967a1b45b1276d80399ef9bf",
    "cross_cats_sorted": [
      "math.OC",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-06-27T16:51:58Z",
    "title_canon_sha256": "bc468bf47f000f63a7b61332f676159af4889dac39563919d7008bb5cc36caee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.14106",
    "kind": "arxiv",
    "version": 2
  }
}