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Pith Number

pith:PZEO3YMB

pith:2012:PZEO3YMBGPK2U5E7HCQ5D4PQLB
not attested not anchored not stored refs pending

Similarity of matrices over local rings of length two

Amritanshu Prasad, Pooja Singla, Steven Spallone

arxiv:1212.6157 v2 · 2012-12-26 · math.RA · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PZEO3YMBGPK2U5E7HCQ5D4PQLB}

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 2026-05-18T02:17:24.790072Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7e48ede18133d5aa749f38a1d1f1f0587c502065f3e43555390d490b7b4ea172

Aliases

arxiv: 1212.6157 · arxiv_version: 1212.6157v2 · doi: 10.48550/arxiv.1212.6157 · pith_short_12: PZEO3YMBGPK2 · pith_short_16: PZEO3YMBGPK2U5E7 · pith_short_8: PZEO3YMB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PZEO3YMBGPK2U5E7HCQ5D4PQLB \
  | 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: 7e48ede18133d5aa749f38a1d1f1f0587c502065f3e43555390d490b7b4ea172
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "47c721b4a40eb8dec8c3a27fd9037f6cd185eb32198782a47d3c48882199b34b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-12-26T10:40:47Z",
    "title_canon_sha256": "b760c7a3668d989c727e0bfd298e85355bf4c6c0903889087c482e38c522acc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6157",
    "kind": "arxiv",
    "version": 2
  }
}