Pith Number

pith:FPYKZCN6

pith:2013:FPYKZCN6LTQFKU52RZ2D54FY7Y

not attested not anchored not stored refs pending

Cardinal invariants for $\kappa$-box products

Ivan S. Gotchev, W. W. Comfort

arxiv:1311.2330 v1 · 2013-11-11 · 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{FPYKZCN6LTQFKU52RZ2D54FY7Y}

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	2026-05-18T03:07:32.940139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf0ac89be5ce05553ba8e743ef0b8fe050db31bb3a767b5f7dff96a5e3cca09

Aliases

arxiv: 1311.2330 · arxiv_version: 1311.2330v1 · doi: 10.48550/arxiv.1311.2330 · pith_short_12: FPYKZCN6LTQF · pith_short_16: FPYKZCN6LTQFKU52 · pith_short_8: FPYKZCN6

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/FPYKZCN6LTQFKU52RZ2D54FY7Y \
  | 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: 2bf0ac89be5ce05553ba8e743ef0b8fe050db31bb3a767b5f7dff96a5e3cca09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915372efb9cc4eb2b3a2a8a14e9f85b9bc66b1ce39470e3a158b69208e722a0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-11-11T02:03:01Z",
    "title_canon_sha256": "9de2dcbeff58aa693080aaf26cc22876280a0c8cf8814dcbd0e39484e8ed924f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2330",
    "kind": "arxiv",
    "version": 1
  }
}