Pith Number

pith:BAXMLGEV

pith:2013:BAXMLGEVVUPTIH3AKELUEAR3KH

not attested not anchored not stored refs pending

Structure of Kernels and Cokernels of Toeplitz plus Hankel Operators

Bernd Silbermann, Victor D. Didenko

arxiv:1309.7574 v2 · 2013-09-29 · 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{BAXMLGEVVUPTIH3AKELUEAR3KH}

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	2026-05-18T03:00:00.577425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

082ec59895ad1f341f60511742023b51d20cb45d3eb7351d30730f9625f194b9

Aliases

arxiv: 1309.7574 · arxiv_version: 1309.7574v2 · doi: 10.48550/arxiv.1309.7574 · pith_short_12: BAXMLGEVVUPT · pith_short_16: BAXMLGEVVUPTIH3A · pith_short_8: BAXMLGEV

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/BAXMLGEVVUPTIH3AKELUEAR3KH \
  | 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: 082ec59895ad1f341f60511742023b51d20cb45d3eb7351d30730f9625f194b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e0712b20a9eb559be5c209f6adcbf27b717db8e4023627bfbdef2f6424567e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-29T11:08:39Z",
    "title_canon_sha256": "71860f7fa953940cbc6bbc7323d6666c50453274ef8b08a63ba0a0a9c90c6462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7574",
    "kind": "arxiv",
    "version": 2
  }
}