Pith Number

pith:QPURJUED

pith:2019:QPURJUEDEYJM2QJXVH62WF4C7M

not attested not anchored not stored refs pending

The diagonal of the associahedra

Andy Tonks, Bruno Vallette, Hugh Thomas, Naruki Masuda

arxiv:1902.08059 v1 · 2019-02-21 · math.AT · 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{QPURJUEDEYJM2QJXVH62WF4C7M}

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	2026-05-17T23:53:02.241429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e914d0832612cd4137a9fdab1782fb337a9e70b6211ff968fb8f2d1b123278

Aliases

arxiv: 1902.08059 · arxiv_version: 1902.08059v1 · doi: 10.48550/arxiv.1902.08059 · pith_short_12: QPURJUEDEYJM · pith_short_16: QPURJUEDEYJM2QJX · pith_short_8: QPURJUED

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/QPURJUEDEYJM2QJXVH62WF4C7M \
  | 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: 83e914d0832612cd4137a9fdab1782fb337a9e70b6211ff968fb8f2d1b123278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e223112f7d751e81abddcee76c355c8d91a1f148909ab59056c56b55783700c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-02-21T14:08:24Z",
    "title_canon_sha256": "a78f1e31ff2ca692e51edb00191024bb0a3c3e2c47a44fdd432ab1101590ea2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08059",
    "kind": "arxiv",
    "version": 1
  }
}