pith. sign in
Pith Number

pith:J47ZNJD7

pith:2014:J47ZNJD7HDVS7W6SI2GWDYZVEW
not attested not anchored not stored refs pending

$\mathfrak{K}$-families and CPD-H-extendable families

Harsh Trivedi, Santanu Dey

arxiv:1409.3655 v1 · 2014-09-12 · math.OA · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{J47ZNJD7HDVS7W6SI2GWDYZVEW}

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 2026-05-18T00:13:48.684258Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4f3f96a47f38eb2fdbd2468d61e33525a9e23815f184f63eb812a4b4fc4d6ade

Aliases

arxiv: 1409.3655 · arxiv_version: 1409.3655v1 · doi: 10.48550/arxiv.1409.3655 · pith_short_12: J47ZNJD7HDVS · pith_short_16: J47ZNJD7HDVS7W6S · pith_short_8: J47ZNJD7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/J47ZNJD7HDVS7W6SI2GWDYZVEW \
  | 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: 4f3f96a47f38eb2fdbd2468d61e33525a9e23815f184f63eb812a4b4fc4d6ade
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "943881845b58a8a18781c912b4fc73bcf8b207cd1177bc46aff5c7058af1fbbe",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-09-12T06:31:09Z",
    "title_canon_sha256": "15f86bbf90c32fa40f1322e8b88c2976ddfc7278d424f65d8c306a97a9918366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3655",
    "kind": "arxiv",
    "version": 1
  }
}