Pith Number

pith:MHIQAGQB

pith:2010:MHIQAGQBXRO63FOG5APZYDGHAY

not attested not anchored not stored refs pending

A mini-max problem for self-adjoint Toeplitz matrices

Dennis Courtney, Donald Sarason

arxiv:1009.2553 v2 · 2010-09-14 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHIQAGQBXRO63FOG5APZYDGHAY}

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	2026-05-18T03:56:10.818730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61d1001a01bc5ded95c6e81f9c0cc70606ca13fb710a39f273552ccdf87c87a8

Aliases

arxiv: 1009.2553 · arxiv_version: 1009.2553v2 · doi: 10.48550/arxiv.1009.2553 · pith_short_12: MHIQAGQBXRO6 · pith_short_16: MHIQAGQBXRO63FOG · pith_short_8: MHIQAGQB

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/MHIQAGQBXRO63FOG5APZYDGHAY \
  | 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: 61d1001a01bc5ded95c6e81f9c0cc70606ca13fb710a39f273552ccdf87c87a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b309bf6962591908c8caa8db86c2bf8dc8c22358a715486b30322405601b2957",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-14T01:28:17Z",
    "title_canon_sha256": "16d11ce37d2aa6a3fe77009e1fd6292c48b4b067523c354d300b2b298a5025c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2553",
    "kind": "arxiv",
    "version": 2
  }
}