Pith Number

pith:5EHXZ27N

pith:2011:5EHXZ27NKNCCVPE2DWXLNXEVMC

not attested not anchored not stored refs pending

On the dual of Ces\`aro function space

Anna Kami\'nska, Damian Kubiak

arxiv:1109.5400 v2 · 2011-09-25 · 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{5EHXZ27NKNCCVPE2DWXLNXEVMC}

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	2026-05-18T02:20:29.201441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e90f7cebed53442abc9a1daeb6dc9560897d03db06ff60a6e414309512acfe9f

Aliases

arxiv: 1109.5400 · arxiv_version: 1109.5400v2 · doi: 10.48550/arxiv.1109.5400 · pith_short_12: 5EHXZ27NKNCC · pith_short_16: 5EHXZ27NKNCCVPE2 · pith_short_8: 5EHXZ27N

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/5EHXZ27NKNCCVPE2DWXLNXEVMC \
  | 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: e90f7cebed53442abc9a1daeb6dc9560897d03db06ff60a6e414309512acfe9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfd9e0d8ca6ea26e5e8918a0878c40034276edd4b7137704081df8095d2c358c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-25T21:33:51Z",
    "title_canon_sha256": "dbd597a0cd98f189355e95ebfd4301d32de9c2c9e022e11185d980fc84348310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5400",
    "kind": "arxiv",
    "version": 2
  }
}