Pith Number

pith:Z4PEMLA3

pith:2015:Z4PEMLA3XB4POAZ3AR2EJ5Q2UO

not attested not anchored not stored refs pending

The Ascoli property for function spaces and the weak topology of Banach and Fr\'echet spaces

G. Plebanek, J. Kakol, S. Gabriyelyan

arxiv:1504.04202 v1 · 2015-04-16 · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4PEMLA3XB4POAZ3AR2EJ5Q2UO}

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	2026-05-18T02:18:39.504735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1e462c1bb878f7033b047444f61aa397b62761dc37f40e169df1aea84c6030

Aliases

arxiv: 1504.04202 · arxiv_version: 1504.04202v1 · doi: 10.48550/arxiv.1504.04202 · pith_short_12: Z4PEMLA3XB4P · pith_short_16: Z4PEMLA3XB4POAZ3 · pith_short_8: Z4PEMLA3

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/Z4PEMLA3XB4POAZ3AR2EJ5Q2UO \
  | 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: cf1e462c1bb878f7033b047444f61aa397b62761dc37f40e169df1aea84c6030

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fada4a3303316883103ec785df7cb71b6975d2c6a0d5f072d7c7ddf95b997d65",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-16T12:13:39Z",
    "title_canon_sha256": "5c90190ba836ed5a4594e54cb85942b1bbe013a755813bc9783639220efaf4dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04202",
    "kind": "arxiv",
    "version": 1
  }
}