Pith Number

pith:4OJIXHEK

pith:2013:4OJIXHEKO3ACEZUTBL25XB3USH

not attested not anchored not stored refs pending

Procrustes problems and Parseval quasi-dual frames

G.Corach, M.Ruiz, P. Massey

arxiv:1309.7914 v1 · 2013-09-30 · 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{4OJIXHEKO3ACEZUTBL25XB3USH}

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	2026-05-18T03:11:47.809102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3928b9c8a76c02266930af5db877491ff68c3a820313368c08c685a3bf34dd4

Aliases

arxiv: 1309.7914 · arxiv_version: 1309.7914v1 · doi: 10.48550/arxiv.1309.7914 · pith_short_12: 4OJIXHEKO3AC · pith_short_16: 4OJIXHEKO3ACEZUT · pith_short_8: 4OJIXHEK

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/4OJIXHEKO3ACEZUTBL25XB3USH \
  | 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: e3928b9c8a76c02266930af5db877491ff68c3a820313368c08c685a3bf34dd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae87716d1afda44b17d496aaba9d931cb26548de839d39f6215df76c4fa059c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-30T16:45:41Z",
    "title_canon_sha256": "841cda0bb39a4699af8bfddaaecc381b5d1d8bfe760ea2aa2331b788e8b78bd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7914",
    "kind": "arxiv",
    "version": 1
  }
}