Pith Number

pith:7RU3T2SF

pith:2002:7RU3T2SFMQ7CZENNQO4TE5DFMQ

not attested not anchored not stored refs pending

Maps between higher Bruhat orders and higher Stasheff-Tamari posets

Hugh Thomas

arxiv:math/0212097 v2 · 2002-12-06 · math.CO · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RU3T2SFMQ7CZENNQO4TE5DFMQ}

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.

Cited by

1 paper in Pith

Preorders on maximal chains: hyperplane arrangements, Cambrian lattices, and maximal green sequences

Receipt and verification

First computed	2026-07-04T14:36:48.557048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc69b9ea45643e2c91ad83b9327465643bac7f96e6e94ee79a5551e069908310

Aliases

arxiv: math/0212097 · arxiv_version: math/0212097v2 · doi: 10.48550/arxiv.math/0212097 · pith_short_12: 7RU3T2SFMQ7C · pith_short_16: 7RU3T2SFMQ7CZENN · pith_short_8: 7RU3T2SF

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/7RU3T2SFMQ7CZENNQO4TE5DFMQ \
  | 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: fc69b9ea45643e2c91ad83b9327465643bac7f96e6e94ee79a5551e069908310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ac5e4334b297faea99346caf07153a7b9ed0f9e38eb8b7a6fa03491bfb878d6",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2002-12-06T01:10:53Z",
    "title_canon_sha256": "fb5ecae683e5e9d869292c6862e838ed78f521ff17d876dde0654f4aabe894cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212097",
    "kind": "arxiv",
    "version": 2
  }
}