Pith Number

pith:GMCZXTML

pith:2004:GMCZXTML6AJLX4IZ52IOXSXI53

not attested not anchored not stored refs pending

The Isomorphism Problem for Computable Abelian p-Groups of Bounded Length

Wesley Calvert

arxiv:math/0406505 v1 · 2004-06-24 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMCZXTML6AJLX4IZ52IOXSXI53}

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	2026-05-18T01:05:26.261305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33059bcd8bf012bbf119ee90ebcae8eef7068d97e4ea8a91cdf38777d15f08ec

Aliases

arxiv: math/0406505 · arxiv_version: math/0406505v1 · doi: 10.48550/arxiv.math/0406505 · pith_short_12: GMCZXTML6AJL · pith_short_16: GMCZXTML6AJLX4IZ · pith_short_8: GMCZXTML

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/GMCZXTML6AJLX4IZ52IOXSXI53 \
  | 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: 33059bcd8bf012bbf119ee90ebcae8eef7068d97e4ea8a91cdf38777d15f08ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70166028eae10023baa9ef838b597d45c182319276f80a8256012379ece20b55",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2004-06-24T19:09:54Z",
    "title_canon_sha256": "2becdc78c86c9254bdfc9cb35851dff460015e8934edc6acc2646751af426af8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406505",
    "kind": "arxiv",
    "version": 1
  }
}