Pith Number

pith:ZBVEETTI

pith:2016:ZBVEETTII7K27EE2NTGPQLFZNI

not attested not anchored not stored refs pending

Arzel\`a-Ascoli theorem via Wallman compactification

Mateusz Krukowski

arxiv:1602.05691 v3 · 2016-02-18 · math.GN · 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{ZBVEETTII7K27EE2NTGPQLFZNI}

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	2026-05-18T01:15:22.649272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86a424e6847d5af909a6cccf82cb96a10e8452ba454d7988d7b282a5d613d58

Aliases

arxiv: 1602.05691 · arxiv_version: 1602.05691v3 · doi: 10.48550/arxiv.1602.05691 · pith_short_12: ZBVEETTII7K2 · pith_short_16: ZBVEETTII7K27EE2 · pith_short_8: ZBVEETTI

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/ZBVEETTII7K27EE2NTGPQLFZNI \
  | 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: c86a424e6847d5af909a6cccf82cb96a10e8452ba454d7988d7b282a5d613d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85643bc6639a4c38e3d4d9b40326d384834502feeb134d0f1cedf35d8873f506",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-02-18T06:56:57Z",
    "title_canon_sha256": "f466c756ffdf954fa8070a326bb66d13fc619a4c30decf92d041796d8cd5b0b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05691",
    "kind": "arxiv",
    "version": 3
  }
}