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Pith Number

pith:6B5AOUOQ

pith:2013:6B5AOUOQ63MUBOAB2DE5UIH5RX
not attested not anchored not stored refs pending

About uniform regularity of collections of sets

Alexander Y. Kruger, Nguyen H. Thao

arxiv:1305.0079 v2 · 2013-05-01 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6B5AOUOQ63MUBOAB2DE5UIH5RX}

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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 2026-05-18T02:29:15.998441Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f07a0751d0f6d940b801d0c9da20fd8dddd1f48a106ce053582e818905e9a58e

Aliases

arxiv: 1305.0079 · arxiv_version: 1305.0079v2 · doi: 10.48550/arxiv.1305.0079 · pith_short_12: 6B5AOUOQ63MU · pith_short_16: 6B5AOUOQ63MUBOAB · pith_short_8: 6B5AOUOQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6B5AOUOQ63MUBOAB2DE5UIH5RX \
  | 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: f07a0751d0f6d940b801d0c9da20fd8dddd1f48a106ce053582e818905e9a58e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0405c6af1a8fd9b21b31de9d322b5989e345d2f274a3d4215ffa07fccc86f56d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-05-01T03:44:22Z",
    "title_canon_sha256": "5d164e34e0fc26c9d757eb8af504cffe0e97cb2f257878cf0bfd85ab2884db08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0079",
    "kind": "arxiv",
    "version": 2
  }
}