Pith Number

pith:ZYD3X633

pith:2016:ZYD3X633UDVOON3V7JDCG6MUV2

not attested not anchored not stored refs pending

Completeness and compactness properties in metric spaces, topological groups and function spaces

Alejandro Dorantes-Aldama, Dmitri Shakhmatov

arxiv:1603.07459 v1 · 2016-03-24 · math.GN · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYD3X633UDVOON3V7JDCG6MUV2}

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	2026-05-18T00:43:43.643284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce07bbfb7ba0eae73775fa46237994ae8bd2440a5d3c87406ec3a929b87ea648

Aliases

arxiv: 1603.07459 · arxiv_version: 1603.07459v1 · doi: 10.48550/arxiv.1603.07459 · pith_short_12: ZYD3X633UDVO · pith_short_16: ZYD3X633UDVOON3V · pith_short_8: ZYD3X633

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/ZYD3X633UDVOON3V7JDCG6MUV2 \
  | 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: ce07bbfb7ba0eae73775fa46237994ae8bd2440a5d3c87406ec3a929b87ea648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1287877759e0b8f09cf866aff2f5e4f3f7a54cd30888b556cf309f8b22747cf",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-03-24T07:49:05Z",
    "title_canon_sha256": "adad047b303fb582dbc49b4c8c012a841c34388b327857c2747da2558cac52af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07459",
    "kind": "arxiv",
    "version": 1
  }
}