Pith Number

pith:3R4PQQQZ

pith:2016:3R4PQQQZMURV4VYPBT5FS4ML4T

not attested not anchored not stored refs pending

Geometric significance of Toeplitz kernels

Eduardo Chiumiento, Esteban Andruchow, Gabriel Larotonda

arxiv:1608.05737 v1 · 2016-08-19 · math.FA · math-ph · math.DG · math.MP · 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{3R4PQQQZMURV4VYPBT5FS4ML4T}

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	2026-05-18T01:08:23.359421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc78f8421965235e570f0cfa59718be4f0e1606456a4d5964c3d3342c693d7f4

Aliases

arxiv: 1608.05737 · arxiv_version: 1608.05737v1 · doi: 10.48550/arxiv.1608.05737 · pith_short_12: 3R4PQQQZMURV · pith_short_16: 3R4PQQQZMURV4VYP · pith_short_8: 3R4PQQQZ

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/3R4PQQQZMURV4VYPBT5FS4ML4T \
  | 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: dc78f8421965235e570f0cfa59718be4f0e1606456a4d5964c3d3342c693d7f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ba8a9bb7bcbff61c3d794991e71873e4e67ee2835706dda65e62cae6f132051",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-19T20:54:31Z",
    "title_canon_sha256": "1b3c8913dc35c428ba14233eb79626333c6d35ee563741a16c141690892e242d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05737",
    "kind": "arxiv",
    "version": 1
  }
}