Pith Number

pith:FILQ7ELS

pith:2015:FILQ7ELSQSU2ZIFX7HSEXI3BMC

not attested not anchored not stored refs pending

Localization principle for compact Hankel operators

Alexander Pushnitski, Dmitri Yafaev

arxiv:1508.04279 v2 · 2015-08-18 · math.SP · 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{FILQ7ELSQSU2ZIFX7HSEXI3BMC}

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	2026-05-18T01:29:45.027107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a170f917284a9aca0b7f9e44ba36160a22ccefded6954bc3e23145e0f7e4696

Aliases

arxiv: 1508.04279 · arxiv_version: 1508.04279v2 · doi: 10.48550/arxiv.1508.04279 · pith_short_12: FILQ7ELSQSU2 · pith_short_16: FILQ7ELSQSU2ZIFX · pith_short_8: FILQ7ELS

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/FILQ7ELSQSU2ZIFX7HSEXI3BMC \
  | 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: 2a170f917284a9aca0b7f9e44ba36160a22ccefded6954bc3e23145e0f7e4696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfa7bc917e4ff96272b8c518a25a018e6049c897f74d2908a9308f52a721405b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-08-18T11:28:41Z",
    "title_canon_sha256": "23be2f4f25d4298a7976ad9b5d00a6c382feac23c53affb47b0d46e92268c56d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04279",
    "kind": "arxiv",
    "version": 2
  }
}