Pith Number

pith:RF5YDI7R

pith:2012:RF5YDI7RD6SN6NN6MLL53SFI37

not attested not anchored not stored refs pending

Permutations all of whose patterns of a given length are distinct

Peter Hegarty

arxiv:1206.0966 v2 · 2012-06-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RF5YDI7RD6SN6NN6MLL53SFI37}

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	2026-05-18T03:53:54.016097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

897b81a3f11fa4df35be62d7ddc8a8dffe556d935810e9c315d62d68e2ad74e1

Aliases

arxiv: 1206.0966 · arxiv_version: 1206.0966v2 · doi: 10.48550/arxiv.1206.0966 · pith_short_12: RF5YDI7RD6SN · pith_short_16: RF5YDI7RD6SN6NN6 · pith_short_8: RF5YDI7R

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/RF5YDI7RD6SN6NN6MLL53SFI37 \
  | 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: 897b81a3f11fa4df35be62d7ddc8a8dffe556d935810e9c315d62d68e2ad74e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5997333ee5a8d06c058d017dc4917cd2ef06f2f976e52f82efc2f4bbd842ee36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-05T15:43:49Z",
    "title_canon_sha256": "6d2f5e88ce7cd898d7f13dac239719bdcb4c31f96d013d79d1a6e28cab628f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0966",
    "kind": "arxiv",
    "version": 2
  }
}