Pith Number

pith:KAY3ZESW

pith:2019:KAY3ZESWKUKRCNK2YJGJVE5OXH

not attested not anchored not stored refs pending

The power word problem

Armin Wei{\ss}, Markus Lohrey

arxiv:1904.08343 v1 · 2019-04-17 · math.GR · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KAY3ZESWKUKRCNK2YJGJVE5OXH}

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	2026-05-17T23:48:17.980753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5031bc9256551511355ac24c9a93aeb9f5b9f0796f9971115198a77a138a7ca9

Aliases

arxiv: 1904.08343 · arxiv_version: 1904.08343v1 · doi: 10.48550/arxiv.1904.08343 · pith_short_12: KAY3ZESWKUKR · pith_short_16: KAY3ZESWKUKRCNK2 · pith_short_8: KAY3ZESW

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/KAY3ZESWKUKRCNK2YJGJVE5OXH \
  | 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: 5031bc9256551511355ac24c9a93aeb9f5b9f0796f9971115198a77a138a7ca9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "720f9e5e38bf02d9f697d33e13f38e130d38d1c3eefb271571a673d1f16275a5",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-04-17T16:12:54Z",
    "title_canon_sha256": "6070b31bcc9d87f892015ef8733f7cd6cac7c5ea849b1cd5bee714cf40251a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08343",
    "kind": "arxiv",
    "version": 1
  }
}