Pith Number

pith:EE3YKNFX

pith:2019:EE3YKNFXRPIFU7A3HLLFFXQG7M

not attested not anchored not stored refs pending

Finite groups with planar generating graph

Andrea Lucchini

arxiv:1908.01649 v1 · 2019-08-05 · 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{EE3YKNFXRPIFU7A3HLLFFXQG7M}

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	2026-07-04T23:51:32.472154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21378534b78bd05a7c1b3ad652de06fb013dfbcdd8423f0b11c2484b29650b46

Aliases

arxiv: 1908.01649 · arxiv_version: 1908.01649v1 · doi: 10.48550/arxiv.1908.01649 · pith_short_12: EE3YKNFXRPIF · pith_short_16: EE3YKNFXRPIFU7A3 · pith_short_8: EE3YKNFX

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/EE3YKNFXRPIFU7A3HLLFFXQG7M \
  | 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: 21378534b78bd05a7c1b3ad652de06fb013dfbcdd8423f0b11c2484b29650b46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d8a1bd20bbfc0845cf4512e6acbbd332c8d5c51ac1fb458b4a0309c56f49d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-05T14:39:23Z",
    "title_canon_sha256": "a9b516a7ac9b2e9ddf2f3f0361abe5793a93857551a2af45fd803180a4949d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01649",
    "kind": "arxiv",
    "version": 1
  }
}