Pith Number

pith:54S6KKMT

pith:2010:54S6KKMT5KPSRF7IRXIOZAGEC3

not attested not anchored not stored refs pending

Systems of reproducing kernels and their biorthogonal: completeness or incompleteness?

Anton Baranov, Yurii Belov

arxiv:1005.1197 v2 · 2010-05-07 · math.CV · 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{54S6KKMT5KPSRF7IRXIOZAGEC3}

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	2026-05-18T04:05:46.975484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef25e52993ea9f2897e88dd0ec80c416ec8564401ba245d4538cd044eac00394

Aliases

arxiv: 1005.1197 · arxiv_version: 1005.1197v2 · doi: 10.48550/arxiv.1005.1197 · pith_short_12: 54S6KKMT5KPS · pith_short_16: 54S6KKMT5KPSRF7I · pith_short_8: 54S6KKMT

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/54S6KKMT5KPSRF7IRXIOZAGEC3 \
  | 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: ef25e52993ea9f2897e88dd0ec80c416ec8564401ba245d4538cd044eac00394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bec05788fe01bf581053a2aca4846c4b244f0d8fcebe0e4d5fa83854c8da3263",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-05-07T13:11:13Z",
    "title_canon_sha256": "14e99ccefe05287d9a3edf10a58bff6710c014ff7ea12a18043c65f2bfab72ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1197",
    "kind": "arxiv",
    "version": 2
  }
}