Pith Number

pith:ECJ6VG4E

pith:2022:ECJ6VG4ELYJKKOR4WBTBBHC6CG

not attested not anchored not stored refs pending

Berezin-Toeplitz operators, Kodaira maps, and random sections

Michele Ancona (IRMA), Yohann Le Floch (IRMA)

arxiv:2206.15112 v1 · 2022-06-30 · math.CV · math-ph · math.MP · math.PR · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECJ6VG4ELYJKKOR4WBTBBHC6CG}

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.

Cited by

1 paper in Pith

Bernstein-Markov measures and Toeplitz theory

Receipt and verification

First computed	2026-07-05T04:36:25.567070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2093ea9b845e12a53a3cb066109c5e11abb4cae422a90eb1e857e02fdd038035

Aliases

arxiv: 2206.15112 · arxiv_version: 2206.15112v1 · doi: 10.48550/arxiv.2206.15112 · pith_short_12: ECJ6VG4ELYJK · pith_short_16: ECJ6VG4ELYJKKOR4 · pith_short_8: ECJ6VG4E

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/ECJ6VG4ELYJKKOR4WBTBBHC6CG \
  | 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: 2093ea9b845e12a53a3cb066109c5e11abb4cae422a90eb1e857e02fdd038035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e8490d3b30838e7ec6d2baa4003bbb69fec90474e5854d6074923e31e0d280",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2022-06-30T08:17:33Z",
    "title_canon_sha256": "2ef5b2977f762fa80975a0a557f03e132ad1c85c3e2ff9089c2d752f829ef46e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.15112",
    "kind": "arxiv",
    "version": 1
  }
}