Pith Number

pith:FMMDX6P6

pith:2014:FMMDX6P6GL33Y2RY5WXQF3SVEC

not attested not anchored not stored refs pending

On the geometry of cyclic lattices

Lenny Fukshansky, Xun Sun

arxiv:1406.4470 v3 · 2014-06-17 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMMDX6P6GL33Y2RY5WXQF3SVEC}

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	2026-05-18T02:34:52.156016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b183bf9fe32f7bc6a38edaf02ee552095855382ab858a3fcd5421d8457aa4f0

Aliases

arxiv: 1406.4470 · arxiv_version: 1406.4470v3 · doi: 10.48550/arxiv.1406.4470 · pith_short_12: FMMDX6P6GL33 · pith_short_16: FMMDX6P6GL33Y2RY · pith_short_8: FMMDX6P6

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/FMMDX6P6GL33Y2RY5WXQF3SVEC \
  | 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: 2b183bf9fe32f7bc6a38edaf02ee552095855382ab858a3fcd5421d8457aa4f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8256c024cfa25450d33240f8c39f48c58677fb4cfde8e6b0ea859f61b5fd920",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-17T18:36:33Z",
    "title_canon_sha256": "049e59213c9de317f37f57d8bdc594eb80abf9a3f8a00db7b4c9d22a28a06331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4470",
    "kind": "arxiv",
    "version": 3
  }
}