Pith Number

pith:YSHRPC2D

pith:2015:YSHRPC2DWPUSQNKCGPWE4U7JP5

not attested not anchored not stored refs pending

Lebesgue constants on compact manifolds

A. Kushpel

arxiv:1505.00190 v1 · 2015-04-24 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSHRPC2DWPUSQNKCGPWE4U7JP5}

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	2026-05-18T02:17:13.193050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c48f178b43b3e928354233ec4e53e97f798ad6674a15dbe6710c9e5759779886

Aliases

arxiv: 1505.00190 · arxiv_version: 1505.00190v1 · doi: 10.48550/arxiv.1505.00190 · pith_short_12: YSHRPC2DWPUS · pith_short_16: YSHRPC2DWPUSQNKC · pith_short_8: YSHRPC2D

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/YSHRPC2DWPUSQNKCGPWE4U7JP5 \
  | 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: c48f178b43b3e928354233ec4e53e97f798ad6674a15dbe6710c9e5759779886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0bc19bb5a58c0975d5c36d79650a75cc658efc4214ade61328fcef98a9c5119",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-24T01:35:56Z",
    "title_canon_sha256": "2d42cd49ea8b71f35faa2fa3dba8d190c950970520f6572026a6ff8fff4e2c96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00190",
    "kind": "arxiv",
    "version": 1
  }
}