Pith Number

pith:ZZ5GITRU

pith:2018:ZZ5GITRUK4V7AD37QGPMJVMQVW

not attested not anchored not stored refs pending

Lattices from graph associahedra and subalgebras of the Malvenuto-Reutenauer algebra

Emily Barnard, Thomas McConville

arxiv:1808.05670 v1 · 2018-08-16 · 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{ZZ5GITRUK4V7AD37QGPMJVMQVW}

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	2026-05-18T00:07:54.621478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce7a644e34572bf00f7f819ec4d590ad826bc913e45fe89e155f1d07687ec9ff

Aliases

arxiv: 1808.05670 · arxiv_version: 1808.05670v1 · doi: 10.48550/arxiv.1808.05670 · pith_short_12: ZZ5GITRUK4V7 · pith_short_16: ZZ5GITRUK4V7AD37 · pith_short_8: ZZ5GITRU

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/ZZ5GITRUK4V7AD37QGPMJVMQVW \
  | 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: ce7a644e34572bf00f7f819ec4d590ad826bc913e45fe89e155f1d07687ec9ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89fb1409003f2c4c0d02f50e6c9fa614088de81d3144760e70118a27a4aee882",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-16T20:25:03Z",
    "title_canon_sha256": "c21fce32426be07696c5d45080f26eaae1bfcdca1ca964b55c007732e481f48c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05670",
    "kind": "arxiv",
    "version": 1
  }
}