Pith Number

pith:IEZ7QYFJ

pith:2019:IEZ7QYFJQSMAGNJ3JSPKJ5CNJF

not attested not anchored not stored refs pending

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians

Petr G. Grinevich, Simonetta Abenda

arxiv:1908.07437 v4 · 2019-08-20 · 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{IEZ7QYFJQSMAGNJ3JSPKJ5CNJF}

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	2026-07-05T04:28:38.589008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4133f860a9849803353b4c9ea4f44d495e7e017d2c85a629d2a7d8d38321b229

Aliases

arxiv: 1908.07437 · arxiv_version: 1908.07437v4 · doi: 10.48550/arxiv.1908.07437 · pith_short_12: IEZ7QYFJQSMA · pith_short_16: IEZ7QYFJQSMAGNJ3 · pith_short_8: IEZ7QYFJ

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/IEZ7QYFJQSMAGNJ3JSPKJ5CNJF \
  | 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: 4133f860a9849803353b4c9ea4f44d495e7e017d2c85a629d2a7d8d38321b229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03968395c45c3feff9338918646a61f43924f33af7e4460a1267420589d2a680",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-20T15:41:22Z",
    "title_canon_sha256": "4a81b1a26c0bd8fdaf79d1cbe16c4b73cd5df53c9ac2a20c072446d137b3b49c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07437",
    "kind": "arxiv",
    "version": 4
  }
}