Pith Number

pith:MJZVT3FP

pith:2017:MJZVT3FPZRYXQJNQQZWQPIGS4G

not attested not anchored not stored refs pending

A short note about diffuse Bieberbach groups

Andrzej Szczepa\'nski, Anna G\k{a}sior, Rafa{\l} Lutowski

arxiv:1703.04972 v3 · 2017-03-15 · 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{MJZVT3FPZRYXQJNQQZWQPIGS4G}

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	2026-05-18T00:18:46.687487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

627359ecafcc717825b0866d07a0d2e1b552b5a97cb778470612166593e62f66

Aliases

arxiv: 1703.04972 · arxiv_version: 1703.04972v3 · doi: 10.48550/arxiv.1703.04972 · pith_short_12: MJZVT3FPZRYX · pith_short_16: MJZVT3FPZRYXQJNQ · pith_short_8: MJZVT3FP

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/MJZVT3FPZRYXQJNQQZWQPIGS4G \
  | 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: 627359ecafcc717825b0866d07a0d2e1b552b5a97cb778470612166593e62f66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "184a642d99054a0a311ea3e721a837b45e29615e9f86a593639a1e13477cc33b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-15T07:05:52Z",
    "title_canon_sha256": "13d5eda290d0df867f4cc27c2a06a698eecd9459978dda9178f56193ef690691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04972",
    "kind": "arxiv",
    "version": 3
  }
}