Pith Number

pith:XRRRCS2O

pith:2014:XRRRCS2OGXI6B23MJRLNPJZA6P

not attested not anchored not stored refs pending

Measure of compactness for filters in product spaces: Kuratowski-Mr\`owka in CAP revisited

Fr\'ed\'eric Mynard, William Trott

arxiv:1411.0633 v1 · 2014-11-03 · 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{XRRRCS2OGXI6B23MJRLNPJZA6P}

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	2026-05-18T01:36:20.382541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc63114b4e35d1e0eb6c4c56d7a720f3c88b9daaa86df9fd2ab5ef628ac5e80c

Aliases

arxiv: 1411.0633 · arxiv_version: 1411.0633v1 · doi: 10.48550/arxiv.1411.0633 · pith_short_12: XRRRCS2OGXI6 · pith_short_16: XRRRCS2OGXI6B23M · pith_short_8: XRRRCS2O

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/XRRRCS2OGXI6B23MJRLNPJZA6P \
  | 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: bc63114b4e35d1e0eb6c4c56d7a720f3c88b9daaa86df9fd2ab5ef628ac5e80c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d7e4371b209716598408183e8c7d51a23a0a80c7701b61371f56b3392679ab2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2014-11-03T19:47:05Z",
    "title_canon_sha256": "0c49533d50ee46fbb6be9e55d23514ea229fdf1afb171dddc8cb5a4ce4e3df71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0633",
    "kind": "arxiv",
    "version": 1
  }
}