Pith Number

pith:XJPXTJDW

pith:2019:XJPXTJDW4ZZ2WKIZJPNWOL7H2Z

not attested not anchored not stored refs pending

Construction of double coset system of a Coxeter group and its applications to Bruhat graphs

Masato Kobayashi

arxiv:1907.11801 v1 · 2019-07-26 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJPXTJDW4ZZ2WKIZJPNWOL7H2Z}

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	2026-05-17T23:39:23.020785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba5f79a476e673ab29194bdb672fe7d677e67f873ba3062ec7d7034dfc4d90f3

Aliases

arxiv: 1907.11801 · arxiv_version: 1907.11801v1 · doi: 10.48550/arxiv.1907.11801 · pith_short_12: XJPXTJDW4ZZ2 · pith_short_16: XJPXTJDW4ZZ2WKIZ · pith_short_8: XJPXTJDW

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/XJPXTJDW4ZZ2WKIZJPNWOL7H2Z \
  | 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: ba5f79a476e673ab29194bdb672fe7d677e67f873ba3062ec7d7034dfc4d90f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f389a4398db1ec0fb2d6bcb88dd20d1fe1a15e1385abb3e8b2094fdced41dd2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-26T22:03:39Z",
    "title_canon_sha256": "4f28287ece1b42a0dc4f264357fd3dfa843e2e68c986b11f7d795e1c64e1714f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11801",
    "kind": "arxiv",
    "version": 1
  }
}