Pith Number

pith:RWPNGEB6

pith:2019:RWPNGEB6KUZ2LWTTSMC34JVNYW

not attested not anchored not stored refs pending

Enumerative combinatorics on determinants and signed bigrassmannian polynomials

Masato Kobayashi

arxiv:1902.06234 v1 · 2019-02-17 · 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{RWPNGEB6KUZ2LWTTSMC34JVNYW}

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	2026-05-17T23:53:46.176604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d9ed3103e5533a5da739305be26adc59ab658e7e91623041b7fc9d72f044e4e

Aliases

arxiv: 1902.06234 · arxiv_version: 1902.06234v1 · doi: 10.48550/arxiv.1902.06234 · pith_short_12: RWPNGEB6KUZ2 · pith_short_16: RWPNGEB6KUZ2LWTT · pith_short_8: RWPNGEB6

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/RWPNGEB6KUZ2LWTTSMC34JVNYW \
  | 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: 8d9ed3103e5533a5da739305be26adc59ab658e7e91623041b7fc9d72f044e4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ec443d34f647e8199562b9f6891194dbf3c70cdc2d553498c7a8bbbfc389a30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-17T10:07:35Z",
    "title_canon_sha256": "ecf2b4ab0c3f6c385a33b22cf3397c579c5975493da83bcb8333af250a7db05c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06234",
    "kind": "arxiv",
    "version": 1
  }
}