Pith Number

pith:KEKHLPXD

pith:2010:KEKHLPXDIAKALLGZ25UDVBZDDZ

not attested not anchored not stored refs pending

Boundary values in range spaces of co-analytic truncated Toeplitz operators

Andreas Hartmann (IMB), William T. Ross

arxiv:1012.4077 v1 · 2010-12-18 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEKHLPXDIAKALLGZ25UDVBZDDZ}

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	2026-05-18T04:32:56.279467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

511475bee3401405acd9d7683a87231e79ea41cd118655005338b57fcfe213dd

Aliases

arxiv: 1012.4077 · arxiv_version: 1012.4077v1 · doi: 10.48550/arxiv.1012.4077 · pith_short_12: KEKHLPXDIAKA · pith_short_16: KEKHLPXDIAKALLGZ · pith_short_8: KEKHLPXD

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/KEKHLPXDIAKALLGZ25UDVBZDDZ \
  | 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: 511475bee3401405acd9d7683a87231e79ea41cd118655005338b57fcfe213dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bbb314f77b7c6bb3b325344a62fcdeb9080939c118a7461a8d4983e2066eeb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-18T10:13:50Z",
    "title_canon_sha256": "d5fe8ce158a924fa0eb8a8c87554deab0a78bd0ccfde878e856c0905b5a68745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4077",
    "kind": "arxiv",
    "version": 1
  }
}