Pith Number

pith:FJQZEG6H

pith:2017:FJQZEG6HWYELTNZ7KHXABULIUA

not attested not anchored not stored refs pending

Finite groups of arbitrary deficiency

Giles Gardam

arxiv:1705.02040 v2 · 2017-05-04 · 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{FJQZEG6HWYELTNZ7KHXABULIUA}

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	2026-05-18T00:16:37.012063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a61921bc7b608b9b73f51ee00d168a01d8b43989844ebdb543ac0dd67e27fe4

Aliases

arxiv: 1705.02040 · arxiv_version: 1705.02040v2 · doi: 10.48550/arxiv.1705.02040 · pith_short_12: FJQZEG6HWYEL · pith_short_16: FJQZEG6HWYELTNZ7 · pith_short_8: FJQZEG6H

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/FJQZEG6HWYELTNZ7KHXABULIUA \
  | 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: 2a61921bc7b608b9b73f51ee00d168a01d8b43989844ebdb543ac0dd67e27fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1b3a101b88803ab2c00f19c008deaa8f666c6a34425fc138aea0fe5f460e1ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-04T22:51:34Z",
    "title_canon_sha256": "0ad8024ab5bf14b1b51fd5681ce420b9bc48f6ace0522d9c7d1a5dbaa27a1758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02040",
    "kind": "arxiv",
    "version": 2
  }
}