Pith Number

pith:NXWAAQCW

pith:2014:NXWAAQCWCYKKCVXY5MWPTFCLY2

not attested not anchored not stored refs pending

Permutations generated by a depth 2 and infinite stack in series are algebraic

Andrew Rechnitzer, Geoffrey Lee, Murray Elder

arxiv:1407.4248 v2 · 2014-07-16 · 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{NXWAAQCWCYKKCVXY5MWPTFCLY2}

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	2026-05-18T02:45:57.568336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dec0040561614a156f8eb2cf9944bc6adc5e425a7600a21d8201d4908d18438

Aliases

arxiv: 1407.4248 · arxiv_version: 1407.4248v2 · doi: 10.48550/arxiv.1407.4248 · pith_short_12: NXWAAQCWCYKK · pith_short_16: NXWAAQCWCYKKCVXY · pith_short_8: NXWAAQCW

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/NXWAAQCWCYKKCVXY5MWPTFCLY2 \
  | 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: 6dec0040561614a156f8eb2cf9944bc6adc5e425a7600a21d8201d4908d18438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a84590f82ed48cc9c88fcd8567390ab1b896bfd4a3c1873737b08559d507315b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-16T10:17:53Z",
    "title_canon_sha256": "b060d4d05eb782e866e72682942d5502f5a8f42c1510b488d7cb26dd60a4c45f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4248",
    "kind": "arxiv",
    "version": 2
  }
}