Pith Number

pith:S6QWOEEE

pith:2011:S6QWOEEEX5ZV4UA3BF7I7H2FDK

not attested not anchored not stored refs pending

Sublattices of associahedra and permutohedra

Friedrich Wehrung (LMNO), Luigi Santocanale (LIF)

arxiv:1103.3488 v4 · 2011-03-17 · 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{S6QWOEEEX5ZV4UA3BF7I7H2FDK}

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	2026-05-18T03:27:23.347151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97a1671084bf735e501b097e8f9f451aaaf0a156644464e49605131946b765b0

Aliases

arxiv: 1103.3488 · arxiv_version: 1103.3488v4 · doi: 10.48550/arxiv.1103.3488 · pith_short_12: S6QWOEEEX5ZV · pith_short_16: S6QWOEEEX5ZV4UA3 · pith_short_8: S6QWOEEE

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/S6QWOEEEX5ZV4UA3BF7I7H2FDK \
  | 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: 97a1671084bf735e501b097e8f9f451aaaf0a156644464e49605131946b765b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea6008be8c0ca34b5cac3ee75b49d81f10e5961e36ad2ac512530e7f6aa82f7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-17T19:24:26Z",
    "title_canon_sha256": "a4079aba2148d6e22f1afcf2347e9f33347434e2152253f03a14dd9507143a6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3488",
    "kind": "arxiv",
    "version": 4
  }
}