Pith Number

pith:MNAHG2SA

pith:2011:MNAHG2SA57OVA3NVXKVQKDQKOT

not attested not anchored not stored refs pending

On Toeplitz localization operators

M\'aria Hutn\'ikov\'a, Ondrej Hutn\'ik

arxiv:1107.3269 v1 · 2011-07-17 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNAHG2SA57OVA3NVXKVQKDQKOT}

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	2026-05-18T03:51:23.810404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6340736a40efdd506db5baab050e0a74e8e13e3a4c99e50407db032005021231

Aliases

arxiv: 1107.3269 · arxiv_version: 1107.3269v1 · doi: 10.48550/arxiv.1107.3269 · pith_short_12: MNAHG2SA57OV · pith_short_16: MNAHG2SA57OVA3NV · pith_short_8: MNAHG2SA

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/MNAHG2SA57OVA3NVXKVQKDQKOT \
  | 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: 6340736a40efdd506db5baab050e0a74e8e13e3a4c99e50407db032005021231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e73743a9a029e5099b0b9666e64d157f1b0d634a1c10516e4dac483b43d607d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-17T01:43:09Z",
    "title_canon_sha256": "13e8c9d258da8d01f33138b051fea5bf0212b4a711bf4ab1c297729fb80f4c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3269",
    "kind": "arxiv",
    "version": 1
  }
}