Pith Number

pith:GEP3UUB3

pith:2010:GEP3UUB3CUL34RF5UVZA74UIHN

not attested not anchored not stored refs pending

On the inverse image of pattern classes under bubble sort

Anders Claesson, Mark Dukes, Mathilde Bouvel, M. D. Atkinson, Michael H. Albert

arxiv:1008.5299 v2 · 2010-08-31 · 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{GEP3UUB3CUL34RF5UVZA74UIHN}

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	2026-05-18T04:11:28.941483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

311fba503b1517be44bda5720ff2883b7d708d22269b4a28b353670b1a5f0709

Aliases

arxiv: 1008.5299 · arxiv_version: 1008.5299v2 · doi: 10.48550/arxiv.1008.5299 · pith_short_12: GEP3UUB3CUL3 · pith_short_16: GEP3UUB3CUL34RF5 · pith_short_8: GEP3UUB3

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/GEP3UUB3CUL34RF5UVZA74UIHN \
  | 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: 311fba503b1517be44bda5720ff2883b7d708d22269b4a28b353670b1a5f0709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94ec3c9c0b74a7bba7d96ee782b7a6ba9f27f39ff0659d35ebf68a8309114b80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-31T12:34:15Z",
    "title_canon_sha256": "dce30524b6348b56b957a273582379aa254318544663311519977c44d0d8a751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5299",
    "kind": "arxiv",
    "version": 2
  }
}