Pith Number

pith:MWKSCCQD

pith:2026:MWKSCCQDL2473TYDE5LCTBVRLC

not attested not anchored not stored refs pending

Interval hypergraphic polytopes (or deformed associahedra), Tamari interval posets, and weeping willows

Andrew Sack, Eleni Tzanaki, F\'elix G\'elinas, Germain Poullot, Jose Bastidas, Vincent Pilaud

arxiv:2606.18376 v1 · 2026-06-16 · 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{MWKSCCQDL2473TYDE5LCTBVRLC}

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	2026-06-19T16:10:59.504063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6595210a035eb9fdcf0327562986b158bce8b01b44a1daf33b674ca3a5bbf27e

Aliases

arxiv: 2606.18376 · arxiv_version: 2606.18376v1 · doi: 10.48550/arxiv.2606.18376 · pith_short_12: MWKSCCQDL247 · pith_short_16: MWKSCCQDL2473TYD · pith_short_8: MWKSCCQD

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/MWKSCCQDL2473TYDE5LCTBVRLC \
  | 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: 6595210a035eb9fdcf0327562986b158bce8b01b44a1daf33b674ca3a5bbf27e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8929a0e57f1114913756422949b134d3be8d209e3ec13c8bd5f33a105cc66bc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-16T18:23:57Z",
    "title_canon_sha256": "c1665f11fe06b0d9806f9486dc499b031e42f2aa9a7ffe207c2bfff8f3e2b6da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18376",
    "kind": "arxiv",
    "version": 1
  }
}