Pith Number

pith:HY55NCSY

pith:2016:HY55NCSYFOZFHYCC65ZW34DWVN

not attested not anchored not stored refs pending

Toric degenerations of Gr(2,n) and Gr(3,6) via plabic graphs

Ghislain Fourier, Lara Bossinger, Martina Lanini, Milena Hering, Xin Fang

arxiv:1612.03838 v1 · 2016-12-12 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HY55NCSYFOZFHYCC65ZW34DWVN}

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	2026-05-18T00:55:18.226289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e3bd68a582bb253e042f7736df076ab563a300c27d4019169cea347175efe49

Aliases

arxiv: 1612.03838 · arxiv_version: 1612.03838v1 · doi: 10.48550/arxiv.1612.03838 · pith_short_12: HY55NCSYFOZF · pith_short_16: HY55NCSYFOZFHYCC · pith_short_8: HY55NCSY

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/HY55NCSYFOZFHYCC65ZW34DWVN \
  | 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: 3e3bd68a582bb253e042f7736df076ab563a300c27d4019169cea347175efe49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f8328cbb4b74adeabd76a7e082fe93ff75abbaa74f02286a3bb52c5143e7644",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-12T18:37:30Z",
    "title_canon_sha256": "cb99c554fb78c0fdafab9f41863b868633e25cf0c0e96180d92f8456822e5157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03838",
    "kind": "arxiv",
    "version": 1
  }
}