Pith Number

pith:IHRGMV3O

pith:2014:IHRGMV3OPK3A4IM7ZYHGLDKYKZ

not attested not anchored not stored refs pending

Quantification of the Banach-Saks property

Hana Bendov\'a, Ji\v{r}\'i Spurn\'y, Ond\v{r}ej F.K. Kalenda

arxiv:1406.0684 v2 · 2014-06-03 · 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{IHRGMV3OPK3A4IM7ZYHGLDKYKZ}

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	2026-05-18T01:21:13.908152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41e266576e7ab60e219fce0e658d58567f005b1146eb4bc764d303568c356b2e

Aliases

arxiv: 1406.0684 · arxiv_version: 1406.0684v2 · doi: 10.48550/arxiv.1406.0684 · pith_short_12: IHRGMV3OPK3A · pith_short_16: IHRGMV3OPK3A4IM7 · pith_short_8: IHRGMV3O

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/IHRGMV3OPK3A4IM7ZYHGLDKYKZ \
  | 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: 41e266576e7ab60e219fce0e658d58567f005b1146eb4bc764d303568c356b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "643206315c1f60ba3d4068b486752bffd6dc250e6dea8de0502082b4868aa812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-06-03T12:21:51Z",
    "title_canon_sha256": "4810059af35a7a051fec83de0590a183e0b8b9d76f611e7755b3d8676e7d13f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0684",
    "kind": "arxiv",
    "version": 2
  }
}