Pith Number

pith:2ZHGQJW7

pith:2018:2ZHGQJW7WIR6FR6PBIEGTMKVPC

not attested not anchored not stored refs pending

Ideal convergent subseries in Banach spaces

Artur Wachowicz, Marek Balcerzak, Micha{\l} Pop{\l}awski

arxiv:1803.03699 v1 · 2018-03-09 · 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{2ZHGQJW7WIR6FR6PBIEGTMKVPC}

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	2026-05-18T00:21:38.432295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d64e6826dfb223e2c7cf0a0869b155789bd476f0d85298b6000f131ccaf1ca25

Aliases

arxiv: 1803.03699 · arxiv_version: 1803.03699v1 · doi: 10.48550/arxiv.1803.03699 · pith_short_12: 2ZHGQJW7WIR6 · pith_short_16: 2ZHGQJW7WIR6FR6P · pith_short_8: 2ZHGQJW7

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/2ZHGQJW7WIR6FR6PBIEGTMKVPC \
  | 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: d64e6826dfb223e2c7cf0a0869b155789bd476f0d85298b6000f131ccaf1ca25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e81a248db08611f90b575db6423afb6014da77e86fbc7ca3b2d6ecb2401f5dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-09T21:34:00Z",
    "title_canon_sha256": "402f66fa32e7b0a231ea112c8e36b4654280a82eb7342a624e5847850de00554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03699",
    "kind": "arxiv",
    "version": 1
  }
}