Pith Number

pith:VAMKYPAS

pith:2015:VAMKYPASKY6DZYHEK4WD7WQHAH

not attested not anchored not stored refs pending

Kernels of Toeplitz operators

Andreas Hartmann (IMB), Mishko Mitkovski

arxiv:1511.08326 v1 · 2015-11-26 · 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{VAMKYPASKY6DZYHEK4WD7WQHAH}

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	2026-05-18T01:25:54.416673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a818ac3c12563c3ce0e4572c3fda0701e29383602085ff4c7855915f0a8b8c8b

Aliases

arxiv: 1511.08326 · arxiv_version: 1511.08326v1 · doi: 10.48550/arxiv.1511.08326 · pith_short_12: VAMKYPASKY6D · pith_short_16: VAMKYPASKY6DZYHE · pith_short_8: VAMKYPAS

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/VAMKYPASKY6DZYHEK4WD7WQHAH \
  | 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: a818ac3c12563c3ce0e4572c3fda0701e29383602085ff4c7855915f0a8b8c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070ca874bdd0bb3309ff4cfe003b1144e2863bcd88d6875d0460d9e689f1c816",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-11-26T09:01:31Z",
    "title_canon_sha256": "71ac70fc0759f3c8409e936512345e54b63e6fcb155dae21debac584c5514d01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08326",
    "kind": "arxiv",
    "version": 1
  }
}