Pith Number

pith:QHST6QRO

pith:2019:QHST6QROEOOXQAWTJZF6N5BEEJ

not attested not anchored not stored refs pending

The Absolute Orders on the Coxeter Groups $A_n$ and $B_n$ are Sperner

Gene B. Kim, Lawrence H. Harper, Neal Livesay

arxiv:1902.08334 v1 · 2019-02-22 · 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{QHST6QROEOOXQAWTJZF6N5BEEJ}

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	2026-05-17T23:52:57.609083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e53f422e239d7802d34e4be6f4242255473cb82a102be8a0581b03e028f517

Aliases

arxiv: 1902.08334 · arxiv_version: 1902.08334v1 · doi: 10.48550/arxiv.1902.08334 · pith_short_12: QHST6QROEOOX · pith_short_16: QHST6QROEOOXQAWT · pith_short_8: QHST6QRO

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/QHST6QROEOOXQAWTJZF6N5BEEJ \
  | 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: 81e53f422e239d7802d34e4be6f4242255473cb82a102be8a0581b03e028f517

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b237265c003ced03e93eea05b43d5716cf271d3d6c8f611cb32e1983ff5ff335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-22T01:58:53Z",
    "title_canon_sha256": "42bd256e3501cd00f87fad4a163598a9c7f18720509fc182ff0e3d10cc96e6a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08334",
    "kind": "arxiv",
    "version": 1
  }
}