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Pith Number

pith:SF4Z7DRB

pith:2015:SF4Z7DRBMGOGIC4C4TZQE47Y2E
not attested not anchored not stored refs pending

Decision-theoretic rough sets based on time-dependent loss function

Guangming Lang

arxiv:1503.04903 v1 · 2015-03-17 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SF4Z7DRBMGOGIC4C4TZQE47Y2E}

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 2026-05-18T02:22:21.244701Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

91799f8e21619c640b82e4f30273f8d12e91e43ae3794815d6bcb4e4a68823a1

Aliases

arxiv: 1503.04903 · arxiv_version: 1503.04903v1 · doi: 10.48550/arxiv.1503.04903 · pith_short_12: SF4Z7DRBMGOG · pith_short_16: SF4Z7DRBMGOGIC4C · pith_short_8: SF4Z7DRB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SF4Z7DRBMGOGIC4C4TZQE47Y2E \
  | 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: 91799f8e21619c640b82e4f30273f8d12e91e43ae3794815d6bcb4e4a68823a1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "16eb73236d779342af6fdc3b9c0ce6ebdbab0417adb099095757bdc0f9edf559",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-17T03:38:43Z",
    "title_canon_sha256": "3194bebdb6c269379baf38a7c598b1d59dd2ff9296f8866e851e79324be475c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04903",
    "kind": "arxiv",
    "version": 1
  }
}