Pith Number

pith:OSTAFDYG

pith:2016:OSTAFDYGQDCLU4W6LV7ZGMSTUC

not attested not anchored not stored refs pending

Weak Cayley table groups of some crystallographic groups

Rebeca A. Paulsen, Stephen P. Humphries

arxiv:1603.03702 v1 · 2016-03-11 · 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{OSTAFDYGQDCLU4W6LV7ZGMSTUC}

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	2026-05-18T01:19:14.956621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74a6028f0680c4ba72de5d7f933253a0b59d313611eaf58c6cb6210dfe8144e2

Aliases

arxiv: 1603.03702 · arxiv_version: 1603.03702v1 · doi: 10.48550/arxiv.1603.03702 · pith_short_12: OSTAFDYGQDCL · pith_short_16: OSTAFDYGQDCLU4W6 · pith_short_8: OSTAFDYG

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/OSTAFDYGQDCLU4W6LV7ZGMSTUC \
  | 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: 74a6028f0680c4ba72de5d7f933253a0b59d313611eaf58c6cb6210dfe8144e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b11d6af3e71715c093c35a8e33dfec28aef9eab04e8e2b6396f2cff34b5be5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-11T17:44:10Z",
    "title_canon_sha256": "b513c01c2f5584db395e48c6af03c33559c38302e6a88a4380f182dc84ff00e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03702",
    "kind": "arxiv",
    "version": 1
  }
}