Pith Number

pith:BPZU476I

pith:2011:BPZU476IEC2UBTUXTF4Y6MZ764

not attested not anchored not stored refs pending

Estimates of operator moduli of continuity

Aleksei Aleksandrov, Vladimir Peller

arxiv:1104.3553 v1 · 2011-04-18 · math.FA · math.CA · math.CV · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPZU476IEC2UBTUXTF4Y6MZ764}

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	2026-05-18T04:24:04.504690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf34e7fc820b540ce9799798f333ff73f569e7cb1222e36dbb57e1d77ac29e0

Aliases

arxiv: 1104.3553 · arxiv_version: 1104.3553v1 · doi: 10.48550/arxiv.1104.3553 · pith_short_12: BPZU476IEC2U · pith_short_16: BPZU476IEC2UBTUX · pith_short_8: BPZU476I

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/BPZU476IEC2UBTUXTF4Y6MZ764 \
  | 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: 0bf34e7fc820b540ce9799798f333ff73f569e7cb1222e36dbb57e1d77ac29e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0202f51e61c23d8a3eed758fffa358c52f79bd54a28b66fd62394bf5d210be10",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-18T18:11:36Z",
    "title_canon_sha256": "5beee7bc4dc59f7379eab47333ec819ba3cadde8ccd06c295aaa404b4b096e7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3553",
    "kind": "arxiv",
    "version": 1
  }
}