Pith Number

pith:LOFTKQEP

pith:2014:LOFTKQEPSLYNZB2TV5RJNVUQGA

not attested not anchored not stored refs pending

From Apollonian packings to homogeneous sets

Maria Sabitova, Sergei Merenkov

arxiv:1402.5632 v1 · 2014-02-23 · math.MG · math.DS · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOFTKQEPSLYNZB2TV5RJNVUQGA}

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	2026-05-18T02:58:14.215678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b8b35408f92f0dc8753af6296d690300755291a254086ca9af519f5656e7b1f

Aliases

arxiv: 1402.5632 · arxiv_version: 1402.5632v1 · doi: 10.48550/arxiv.1402.5632 · pith_short_12: LOFTKQEPSLYN · pith_short_16: LOFTKQEPSLYNZB2T · pith_short_8: LOFTKQEP

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/LOFTKQEPSLYNZB2TV5RJNVUQGA \
  | 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: 5b8b35408f92f0dc8753af6296d690300755291a254086ca9af519f5656e7b1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230e16c491d0a2c7a480df228ee3c409c8f95b29177cf74ff5f7da02fcecac5c",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-02-23T16:43:59Z",
    "title_canon_sha256": "8ecb443abb065e75873bb54f38241bf53df823bc6ac73d4cd15e0a5aa20cc48d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5632",
    "kind": "arxiv",
    "version": 1
  }
}