Pith Number

pith:4JL5XSVQ

pith:2017:4JL5XSVQYCHFAI7NKPYSZRZJOE

not attested not anchored not stored refs pending

Truncated Toeplitz operators and complex symmetries

Dan Timotin, Hari Bercovici

arxiv:1702.01222 v1 · 2017-02-04 · 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{4JL5XSVQYCHFAI7NKPYSZRZJOE}

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	2026-05-18T00:51:24.127793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e257dbcab0c08e5023ed53f12cc7297129899889b88064398371ba4191f6e6f8

Aliases

arxiv: 1702.01222 · arxiv_version: 1702.01222v1 · doi: 10.48550/arxiv.1702.01222 · pith_short_12: 4JL5XSVQYCHF · pith_short_16: 4JL5XSVQYCHFAI7N · pith_short_8: 4JL5XSVQ

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/4JL5XSVQYCHFAI7NKPYSZRZJOE \
  | 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: e257dbcab0c08e5023ed53f12cc7297129899889b88064398371ba4191f6e6f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cda442b39462d5f13b21f5b2668735cd9adaa7d50576672f8ea95943860412e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-04T01:45:16Z",
    "title_canon_sha256": "0ee779805476c79faa3d2b75c94e5dc48245c790c8d9bbece7e040f92ff0a642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01222",
    "kind": "arxiv",
    "version": 1
  }
}