Pith Number

pith:FYSSB6XS

pith:2013:FYSSB6XSQ63OOBOJ4JWUPGYKXW

not attested not anchored not stored refs pending

A complexity theorem for the Novelli-Pak-Stoyanovskii algorithm

Christoph Neumann, Robin Sulzgruber

arxiv:1306.5134 v2 · 2013-06-21 · 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{FYSSB6XSQ63OOBOJ4JWUPGYKXW}

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	2026-05-18T00:53:40.906165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e2520faf287b6e705c9e26d479b0abd87f7b5724c79aad1d35c5fa4d9cd382b

Aliases

arxiv: 1306.5134 · arxiv_version: 1306.5134v2 · doi: 10.48550/arxiv.1306.5134 · pith_short_12: FYSSB6XSQ63O · pith_short_16: FYSSB6XSQ63OOBOJ · pith_short_8: FYSSB6XS

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/FYSSB6XSQ63OOBOJ4JWUPGYKXW \
  | 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: 2e2520faf287b6e705c9e26d479b0abd87f7b5724c79aad1d35c5fa4d9cd382b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee020eceababe05edfd305e8e1c52fc931b77d1d525aa59c99a8acfdaad22942",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-21T13:26:37Z",
    "title_canon_sha256": "b4568efa5d245a40b22e5cc20e059c0311237d8a0ca230a13db454b2a97d0acc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5134",
    "kind": "arxiv",
    "version": 2
  }
}