Pith Number

pith:RBKN2U37

pith:2012:RBKN2U37OCCIUXD2O6NK2SC453

not attested not anchored not stored refs pending

Quasirandom permutations are characterized by 4-point densities

Daniel Kr\'al', Oleg Pikhurko

arxiv:1205.3074 v3 · 2012-05-14 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RBKN2U37OCCIUXD2O6NK2SC453}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:36:04.566293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8854dd537f70848a5c7a779aad485ceeec78d21889fbd043511ef09970433964

Aliases

arxiv: 1205.3074 · arxiv_version: 1205.3074v3 · doi: 10.48550/arxiv.1205.3074 · pith_short_12: RBKN2U37OCCI · pith_short_16: RBKN2U37OCCIUXD2 · pith_short_8: RBKN2U37

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/RBKN2U37OCCIUXD2O6NK2SC453 \
  | 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: 8854dd537f70848a5c7a779aad485ceeec78d21889fbd043511ef09970433964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c16b3d434e8b1658695acb399f716a3e8285e10b7c114d7aaadda76e855494e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-14T16:08:56Z",
    "title_canon_sha256": "7d2f0c03798312891fa3422d8b0e358b0b458acda731bdc6f567dc79ac7c9714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3074",
    "kind": "arxiv",
    "version": 3
  }
}