Pith Number

pith:35WNPN6U

pith:2011:35WNPN6URF34LAKV33FS7M4MH4

not attested not anchored not stored refs pending

Geometric grid classes of permutations

Mathilde Bouvel, M. D. Atkinson, Michael H. Albert, Nik Ru\v{s}kuc, Vincent Vatter

arxiv:1108.6319 v2 · 2011-08-31 · 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{35WNPN6URF34LAKV33FS7M4MH4}

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	2026-05-18T04:03:09.072731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df6cd7b7d48977c58155decb2fb38c3f045582501b241acb0ac58dbc2644a2fa

Aliases

arxiv: 1108.6319 · arxiv_version: 1108.6319v2 · doi: 10.48550/arxiv.1108.6319 · pith_short_12: 35WNPN6URF34 · pith_short_16: 35WNPN6URF34LAKV · pith_short_8: 35WNPN6U

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/35WNPN6URF34LAKV33FS7M4MH4 \
  | 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: df6cd7b7d48977c58155decb2fb38c3f045582501b241acb0ac58dbc2644a2fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed7838d3969a70af6b19879c1a37a6778d767ac9fa89672f9443e008fcf6731",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-31T18:50:21Z",
    "title_canon_sha256": "3ba5888ac2fe3863ab874d187766e7590360a13cbc47fd5aed0709506f089982"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6319",
    "kind": "arxiv",
    "version": 2
  }
}