Pith Number

pith:FH2GQF3X

pith:2022:FH2GQF3XVNU77ZWS5FCHJDAHJ6

not attested not anchored not stored refs pending

The parabolic coset structure of Bruhat intervals in Coxeter groups

Edward Richmond, Suho Oh

arxiv:2204.11959 v2 · 2022-04-25 · 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{FH2GQF3XVNU77ZWS5FCHJDAHJ6}

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

Demazure product and hopping in type D

Receipt and verification

First computed	2026-07-05T04:25:17.509322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29f4681777ab69ffe6d2e944748c074f8e3fca64b03f91b7a23ce96172d44b2a

Aliases

arxiv: 2204.11959 · arxiv_version: 2204.11959v2 · doi: 10.48550/arxiv.2204.11959 · pith_short_12: FH2GQF3XVNU7 · pith_short_16: FH2GQF3XVNU77ZWS · pith_short_8: FH2GQF3X

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/FH2GQF3XVNU77ZWS5FCHJDAHJ6 \
  | 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: 29f4681777ab69ffe6d2e944748c074f8e3fca64b03f91b7a23ce96172d44b2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0739d58c349f4a0fb96d7aaf98216ec3074116f264bf3755337ab415798e8bcb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-04-25T20:43:46Z",
    "title_canon_sha256": "7c99404352f9fcf30a2239f47691f1d5a3c2dd02bf513af9a409af181bf34d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.11959",
    "kind": "arxiv",
    "version": 2
  }
}