Pith Number

pith:JY3I6NMN

pith:2005:JY3I6NMN5PYB6ZHX5LHTY7QIZI

not attested not anchored not stored refs pending

Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts

R.Voytsitskyy, T.Banakh

arxiv:math/0509395 v1 · 2005-09-18 · math.GT · 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{JY3I6NMN5PYB6ZHX5LHTY7QIZI}

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	2026-05-18T04:11:18.339410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e368f358debf01f64f7eacf3c7e08ca300a1792a4148e10206b762c4deaa597

Aliases

arxiv: math/0509395 · arxiv_version: math/0509395v1 · doi: 10.48550/arxiv.math/0509395 · pith_short_12: JY3I6NMN5PYB · pith_short_16: JY3I6NMN5PYB6ZHX · pith_short_8: JY3I6NMN

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/JY3I6NMN5PYB6ZHX5LHTY7QIZI \
  | 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: 4e368f358debf01f64f7eacf3c7e08ca300a1792a4148e10206b762c4deaa597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aea758d7fea6a6fdebd9a06e79817c835c9165b0398294a8a721b4dc804f29e",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-09-18T05:29:11Z",
    "title_canon_sha256": "cfd18bc1934364031d284f76faafab78126fac4ea2268e75db8fed10ea055c4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509395",
    "kind": "arxiv",
    "version": 1
  }
}