Pith Number

pith:B6DPTDLD

pith:2018:B6DPTDLDBEULAZXOWRWMUN55ZU

not attested not anchored not stored refs pending

Group partitions of minimal size

Martino Garonzi, Michell Lucena Dias

arxiv:1811.02996 v2 · 2018-11-07 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6DPTDLDBEULAZXOWRWMUN55ZU}

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	2026-05-17T23:49:03.095191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f86f98d630928b066eeb46cca37bdcd2d9da2aa71543e810c02a4fb12dc1216

Aliases

arxiv: 1811.02996 · arxiv_version: 1811.02996v2 · doi: 10.48550/arxiv.1811.02996 · pith_short_12: B6DPTDLDBEUL · pith_short_16: B6DPTDLDBEULAZXO · pith_short_8: B6DPTDLD

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/B6DPTDLDBEULAZXOWRWMUN55ZU \
  | 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: 0f86f98d630928b066eeb46cca37bdcd2d9da2aa71543e810c02a4fb12dc1216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5a4e697409c4f2b9764ab9c9d0f940b5634c075aad6178106f7f05f0f37250a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-07T16:58:48Z",
    "title_canon_sha256": "df699393488b7da09537933ea0fc26ea1daf59232c23667091a666723c667990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02996",
    "kind": "arxiv",
    "version": 2
  }
}