Pith Number

pith:P3CSAEWP

pith:2018:P3CSAEWPALGKXQSB32EVZWCNF7

not attested not anchored not stored refs pending

When is $X\times Y$ homeomorphic to $X\times_l Y$?

Raushan Buzyakova

arxiv:1801.01873 v1 · 2018-01-05 · 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{P3CSAEWPALGKXQSB32EVZWCNF7}

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	2026-05-18T00:26:40.750623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec52012cf02ccabc241de895cd84d2fff8c8caaed08d6102d927b87c7048322

Aliases

arxiv: 1801.01873 · arxiv_version: 1801.01873v1 · doi: 10.48550/arxiv.1801.01873 · pith_short_12: P3CSAEWPALGK · pith_short_16: P3CSAEWPALGKXQSB · pith_short_8: P3CSAEWP

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/P3CSAEWPALGKXQSB32EVZWCNF7 \
  | 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: 7ec52012cf02ccabc241de895cd84d2fff8c8caaed08d6102d927b87c7048322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ed51c0f9ba6e43a78cb26bd6a6e062590b5156bfe4bc923433d3ca2eb79cd01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-01-05T18:57:18Z",
    "title_canon_sha256": "650492d89614b3754f31b66e67a4cedb4920112a7849b4a5b09f7947d5b75d91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01873",
    "kind": "arxiv",
    "version": 1
  }
}