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Pith Number

pith:KCTI2CO2

pith:2013:KCTI2CO2HKWTHLBK7WQSFIVH4S
not attested not anchored not stored refs pending

Representations of quivers and mixed graphs

Roger A. Horn, Vladimir V. Sergeichuk

arxiv:1312.7719 v1 · 2013-12-30 · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KCTI2CO2HKWTHLBK7WQSFIVH4S}

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 2026-05-18T03:03:33.957240Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

50a68d09da3aad33ac2afda122a2a7e4ab8b19ac021fec7479acd762006a4b93

Aliases

arxiv: 1312.7719 · arxiv_version: 1312.7719v1 · doi: 10.48550/arxiv.1312.7719 · pith_short_12: KCTI2CO2HKWT · pith_short_16: KCTI2CO2HKWTHLBK · pith_short_8: KCTI2CO2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KCTI2CO2HKWTHLBK7WQSFIVH4S \
  | 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: 50a68d09da3aad33ac2afda122a2a7e4ab8b19ac021fec7479acd762006a4b93
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "90b9b936cbe4e326f5c6494d87e3ad0aaf73a1a290129395aa5ed5493fed1b38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-30T13:58:42Z",
    "title_canon_sha256": "515673eecec34c8fc76faf13d8036c11513257fc20a30819077a74e6655beda2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7719",
    "kind": "arxiv",
    "version": 1
  }
}