Pith Number

pith:U5JUH5KL

pith:2015:U5JUH5KLDA2ULNRUBYDFHCXKZH

not attested not anchored not stored refs pending

Interpolation of abstract Cesaro, Copson and Tandori spaces

Karol Lesnik, Lech Maligranda

arxiv:1502.05732 v1 · 2015-02-19 · 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{U5JUH5KLDA2ULNRUBYDFHCXKZH}

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	2026-05-18T02:26:44.902558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a75343f54b183545b6340e06538aeac9df9fe59da1f59e41cb5acf5f33388509

Aliases

arxiv: 1502.05732 · arxiv_version: 1502.05732v1 · doi: 10.48550/arxiv.1502.05732 · pith_short_12: U5JUH5KLDA2U · pith_short_16: U5JUH5KLDA2ULNRU · pith_short_8: U5JUH5KL

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/U5JUH5KLDA2ULNRUBYDFHCXKZH \
  | 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: a75343f54b183545b6340e06538aeac9df9fe59da1f59e41cb5acf5f33388509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d689ddd14912971523c4592983ba4d35b3a5cc15bd6331c27cf8a66028ff6bed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-19T21:30:24Z",
    "title_canon_sha256": "b5fc617fd6968dc34298cf23510036cc223e548efa79ace0a818b1fc9a1e8183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05732",
    "kind": "arxiv",
    "version": 1
  }
}