Pith Number

pith:KFFOOPIL

pith:2014:KFFOOPILFI3LAI7SJFCYTPJ6TB

not attested not anchored not stored refs pending

$1/k$-homogeneous long solenoids

Gary Gruenhage, George Kozlowski, Jan P. Boronski

arxiv:1412.8508 v2 · 2014-12-29 · 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{KFFOOPILFI3LAI7SJFCYTPJ6TB}

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	2026-05-18T00:33:07.469073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

514ae73d0b2a36b023f2494589bd3e98737a5e51214c7b5fb6b6db292c23f736

Aliases

arxiv: 1412.8508 · arxiv_version: 1412.8508v2 · doi: 10.48550/arxiv.1412.8508 · pith_short_12: KFFOOPILFI3L · pith_short_16: KFFOOPILFI3LAI7S · pith_short_8: KFFOOPIL

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/KFFOOPILFI3LAI7SJFCYTPJ6TB \
  | 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: 514ae73d0b2a36b023f2494589bd3e98737a5e51214c7b5fb6b6db292c23f736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19e0800b96e7f96cc397e118482b81d36aac2bc03e64dbc836533b18e244acf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2014-12-29T23:17:44Z",
    "title_canon_sha256": "58001764f92f66afeed2c802dc7eda92504ce2a7cfddcfdb0ea4c55a4b933449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8508",
    "kind": "arxiv",
    "version": 2
  }
}