Pith Number

pith:ZQKJT53C

pith:2019:ZQKJT53CPDBOCMAYLULPYQRM25

not attested not anchored not stored refs pending

Pathological abelian groups: a friendly example

Jeremy Rickard

arxiv:1904.09327 v1 · 2019-04-19 · 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{ZQKJT53CPDBOCMAYLULPYQRM25}

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	2026-05-17T23:48:07.415389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1499f76278c2e130185d16fc422cd773feac8464b8931586dbd3c44acb94f8

Aliases

arxiv: 1904.09327 · arxiv_version: 1904.09327v1 · doi: 10.48550/arxiv.1904.09327 · pith_short_12: ZQKJT53CPDBO · pith_short_16: ZQKJT53CPDBOCMAY · pith_short_8: ZQKJT53C

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/ZQKJT53CPDBOCMAYLULPYQRM25 \
  | 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: cc1499f76278c2e130185d16fc422cd773feac8464b8931586dbd3c44acb94f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "065d4fde2e4a066610ec4b5d5d9339278f95ef88ee8bcaa8774ae5aceff3a49c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-04-19T20:13:08Z",
    "title_canon_sha256": "7c10f6972245b87cfea261c7f6f87dff69a9189fc511bca32efff3325137840e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09327",
    "kind": "arxiv",
    "version": 1
  }
}