Pith Number

pith:SMIIDRX7

pith:2014:SMIIDRX7L66IAVMBOTG56QESLR

not attested not anchored not stored refs pending

Finite Products Sets and Minimally Almost Periodic Groups

Cory Christopherson, Donald Robertson, Pavel Zorin-Kranich, Vitaly Bergelson

arxiv:1402.4736 v1 · 2014-02-19 · math.DS · math.CO · 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{SMIIDRX7L66IAVMBOTG56QESLR}

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	2026-05-18T01:17:33.564479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

931081c6ff5fbc80558174cddf40925c4172ce5b9de808581fd0bcc1c88bed41

Aliases

arxiv: 1402.4736 · arxiv_version: 1402.4736v1 · doi: 10.48550/arxiv.1402.4736 · pith_short_12: SMIIDRX7L66I · pith_short_16: SMIIDRX7L66IAVMB · pith_short_8: SMIIDRX7

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/SMIIDRX7L66IAVMBOTG56QESLR \
  | 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: 931081c6ff5fbc80558174cddf40925c4172ce5b9de808581fd0bcc1c88bed41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f4c66448066af54a472232840c3a8513f3b81df5caf07cac0f2b454a6aa543f",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-02-19T17:27:03Z",
    "title_canon_sha256": "a1bff00672bb3ffe95e51fd7cac5cd9a9e2e9507969ddd25ed1ba200512064ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4736",
    "kind": "arxiv",
    "version": 1
  }
}