Pith Number

pith:VS6ZXRDV

pith:2003:VS6ZXRDVIAKBRSHCUYIXC47PBT

not attested not anchored not stored refs pending

The Reznichenko property and the Pytkeev property in hyperspaces

Ljubisa D.R. Kocinac

arxiv:math/0312477 v1 · 2003-12-28 · 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{VS6ZXRDVIAKBRSHCUYIXC47PBT}

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	2026-05-18T03:10:58.859768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acbd9bc475401418c8e2a6117173ef0cc253181df4b7750437149d94806e15e3

Aliases

arxiv: math/0312477 · arxiv_version: math/0312477v1 · doi: 10.48550/arxiv.math/0312477 · pith_short_12: VS6ZXRDVIAKB · pith_short_16: VS6ZXRDVIAKBRSHC · pith_short_8: VS6ZXRDV

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/VS6ZXRDVIAKBRSHCUYIXC47PBT \
  | 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: acbd9bc475401418c8e2a6117173ef0cc253181df4b7750437149d94806e15e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe38d78bce93c8aa695acf0e89690a1f4593a1354fd17a8eb95acffa9d0d2c1c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2003-12-28T17:40:13Z",
    "title_canon_sha256": "6cda216beeab5c8f97a115ab5e5028dc669fc96b20da4bd165424c06da5c9ac2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312477",
    "kind": "arxiv",
    "version": 1
  }
}