Pith Number

pith:FE42REW6

pith:2018:FE42REW6KLPPDHGCMIDLZ2UYXU

not attested not anchored not stored refs pending

Characterizations of Cancellable Groups

Matthew Harrison-Trainor, Meng-Che "Turbo" Ho

arxiv:1809.07191 v1 · 2018-09-19 · math.LO · 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{FE42REW6KLPPDHGCMIDLZ2UYXU}

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	2026-05-18T00:05:20.458978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2939a892de52def19cc26206bcea98bd2b7c248b18a03d6867063e712bbd4b12

Aliases

arxiv: 1809.07191 · arxiv_version: 1809.07191v1 · doi: 10.48550/arxiv.1809.07191 · pith_short_12: FE42REW6KLPP · pith_short_16: FE42REW6KLPPDHGC · pith_short_8: FE42REW6

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/FE42REW6KLPPDHGCMIDLZ2UYXU \
  | 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: 2939a892de52def19cc26206bcea98bd2b7c248b18a03d6867063e712bbd4b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15fcb8338a16d5f155b9b197a627c245595c09b0954b7900d252968f90afa051",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-09-19T13:43:53Z",
    "title_canon_sha256": "aa51177db8ee6e7ad7d00a1268a38d2967dbe2f038bb15b73dbf13119385f161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07191",
    "kind": "arxiv",
    "version": 1
  }
}