Pith Number

pith:4GYVUKYU

pith:2014:4GYVUKYUJ4IAA5GBVTPFBTMNE6

not attested not anchored not stored refs pending

On lattices generated by finite Abelian groups

Albrecht Boettcher, Hiren Maharaj, Lenny Fukshansky, Stephan Ramon Garcia

arxiv:1406.7595 v2 · 2014-06-30 · math.NT · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GYVUKYUJ4IAA5GBVTPFBTMNE6}

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	2026-05-18T02:47:15.144644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b15a2b144f100074c1acde50cd8d279bea9b5e73e5e7e4e108830c614fe820

Aliases

arxiv: 1406.7595 · arxiv_version: 1406.7595v2 · doi: 10.48550/arxiv.1406.7595 · pith_short_12: 4GYVUKYUJ4IA · pith_short_16: 4GYVUKYUJ4IAA5GB · pith_short_8: 4GYVUKYU

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/4GYVUKYUJ4IAA5GBVTPFBTMNE6 \
  | 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: e1b15a2b144f100074c1acde50cd8d279bea9b5e73e5e7e4e108830c614fe820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97fb1d169f373e591f62768c2513b06d0c50399ddbd1ac0cdaa242c8a8e3604d",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-30T03:27:39Z",
    "title_canon_sha256": "3dc02b181e3941cd92348a40de79ba801c485a06e1318b9da8a0bee7bff7d57a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7595",
    "kind": "arxiv",
    "version": 2
  }
}