Pith Number

pith:COFBXMBP

pith:2014:COFBXMBPL2ZWELAETDDBKC3AWN

not attested not anchored not stored refs pending

Clusters of exponential functions in the space of square integrable functions

Ruslan Sharipov

arxiv:1410.7202 v1 · 2014-10-27 · 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{COFBXMBPL2ZWELAETDDBKC3AWN}

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	2026-05-18T02:39:17.848062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

138a1bb02f5eb3622c0498c6150b60b358611eaaca4f8b752a1a9fb245765da6

Aliases

arxiv: 1410.7202 · arxiv_version: 1410.7202v1 · doi: 10.48550/arxiv.1410.7202 · pith_short_12: COFBXMBPL2ZW · pith_short_16: COFBXMBPL2ZWELAE · pith_short_8: COFBXMBP

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/COFBXMBPL2ZWELAETDDBKC3AWN \
  | 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: 138a1bb02f5eb3622c0498c6150b60b358611eaaca4f8b752a1a9fb245765da6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c392c77ddbed014836366a034a772c8aaf6e4ef97b3ae2fbeeb3491302443d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-27T12:37:09Z",
    "title_canon_sha256": "33f8975d56706036bf5090ff54cb706e3e105854a057fe2ef790e9b24335f91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7202",
    "kind": "arxiv",
    "version": 1
  }
}