Pith Number

pith:47VF2YFH

pith:2011:47VF2YFHUEHE7AQ3VKXB5DBU4D

not attested not anchored not stored refs pending

Polynilpotent Multipliers of Finitely Generated Abelian Groups

Behrooz Mashayekhy, Mohsen Parvizi

arxiv:1103.5155 v1 · 2011-03-26 · 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{47VF2YFHUEHE7AQ3VKXB5DBU4D}

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	2026-05-18T04:25:38.532545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7ea5d60a7a10e4f821baaae1e8c34e0cefa547b9a5f7beba369f15a9c6b8163

Aliases

arxiv: 1103.5155 · arxiv_version: 1103.5155v1 · doi: 10.48550/arxiv.1103.5155 · pith_short_12: 47VF2YFHUEHE · pith_short_16: 47VF2YFHUEHE7AQ3 · pith_short_8: 47VF2YFH

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/47VF2YFHUEHE7AQ3VKXB5DBU4D \
  | 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: e7ea5d60a7a10e4f821baaae1e8c34e0cefa547b9a5f7beba369f15a9c6b8163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7404eb237c1552dbebae795c471647656a5abdd8eb2eb4ae620b2949b69b61d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-26T20:08:55Z",
    "title_canon_sha256": "b425defddbea20b72488aa753e553c554cec4ab6e36139c305b1ed5fba1ee75e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5155",
    "kind": "arxiv",
    "version": 1
  }
}