Pith Number

pith:RQW3TQ36

pith:2019:RQW3TQ36AYJSNSTTW3MA4KBEG3

not attested not anchored not stored refs pending

A remark on locally direct product subsets in a topological Cartesian space

Hiroki Yagisita

arxiv:1908.05624 v4 · 2019-08-15 · 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{RQW3TQ36AYJSNSTTW3MA4KBEG3}

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	2026-07-05T00:06:10.463733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c2db9c37e061326ca73b6d80e282436d263149fab77e9d69cdf4f30ec21bb71

Aliases

arxiv: 1908.05624 · arxiv_version: 1908.05624v4 · doi: 10.48550/arxiv.1908.05624 · pith_short_12: RQW3TQ36AYJS · pith_short_16: RQW3TQ36AYJSNSTT · pith_short_8: RQW3TQ36

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/RQW3TQ36AYJSNSTTW3MA4KBEG3 \
  | 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: 8c2db9c37e061326ca73b6d80e282436d263149fab77e9d69cdf4f30ec21bb71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "181bfe8ca74500cb292c8fbcf8b651ba18a158b7a20aeaee40eed5c0a494eb1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-08-15T16:26:07Z",
    "title_canon_sha256": "f238a8b28df80114f666f69d336a105b532772d3d2cf0f1ff5a8a720510b44b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05624",
    "kind": "arxiv",
    "version": 4
  }
}