Pith Number

pith:7FGA45Q5

pith:2011:7FGA45Q5WUI5JBGKAS2HPR5CCH

not attested not anchored not stored refs pending

Toeplitz condition numbers as an $H^{\infty}$ interpolation problem

Rachid Zarouf (LATP)

arxiv:1103.5016 v1 · 2011-03-25 · 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{7FGA45Q5WUI5JBGKAS2HPR5CCH}

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	2026-05-18T04:25:48.197854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f94c0e761db511d484ca04b477c7a211d673322672b4d1414810917e41bb79d6

Aliases

arxiv: 1103.5016 · arxiv_version: 1103.5016v1 · doi: 10.48550/arxiv.1103.5016 · pith_short_12: 7FGA45Q5WUI5 · pith_short_16: 7FGA45Q5WUI5JBGK · pith_short_8: 7FGA45Q5

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/7FGA45Q5WUI5JBGKAS2HPR5CCH \
  | 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: f94c0e761db511d484ca04b477c7a211d673322672b4d1414810917e41bb79d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99a53d2f39937b174da8941f70789e48b4affb4845c1445336722eaf9c180611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-25T16:23:33Z",
    "title_canon_sha256": "88129fb6a91cea14d53c2dfc02b22e3efdff7b9c89daa0c8a4ce9905818a65df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5016",
    "kind": "arxiv",
    "version": 1
  }
}