Pith Number

pith:DQB3HH3A

pith:2019:DQB3HH3A3USNDMKBJORM42N7QM

not attested not anchored not stored refs pending

Weighted counting of Bruhat paths by shifted $R$-polynomials

Masato Kobayashi

arxiv:1907.11802 v1 · 2019-07-26 · 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{DQB3HH3A3USNDMKBJORM42N7QM}

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	2026-05-17T23:39:23.012306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c03b39f60dd24d1b1414ba2ce69bf833d52feb010875830e392bbff72cd20a1

Aliases

arxiv: 1907.11802 · arxiv_version: 1907.11802v1 · doi: 10.48550/arxiv.1907.11802 · pith_short_12: DQB3HH3A3USN · pith_short_16: DQB3HH3A3USNDMKB · pith_short_8: DQB3HH3A

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/DQB3HH3A3USNDMKBJORM42N7QM \
  | 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: 1c03b39f60dd24d1b1414ba2ce69bf833d52feb010875830e392bbff72cd20a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "410472a360be50f8cfed11cb815666e201b72f0d8679fa021858e9a1d9b38ad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-26T22:14:50Z",
    "title_canon_sha256": "664bc8d48e4f47c7d9b61979ab36cea95681e43593000f3459bcaff2c590e717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11802",
    "kind": "arxiv",
    "version": 1
  }
}