Pith Number

pith:JY3TVJJG

pith:2013:JY3TVJJG6THT2LE27F4LEHT4FZ

not attested not anchored not stored refs pending

Faithful tropicalization of the Grassmannian of planes

Annette Werner, Maria Angelica Cueto, Mathias Haebich

arxiv:1309.0450 v2 · 2013-09-02 · 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{JY3TVJJG6THT2LE27F4LEHT4FZ}

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	2026-05-18T02:56:44.018572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e373aa526f4cf3d2c9af978b21e7c2e4e2cc8368a1f1613d0dc56d13cac0666

Aliases

arxiv: 1309.0450 · arxiv_version: 1309.0450v2 · doi: 10.48550/arxiv.1309.0450 · pith_short_12: JY3TVJJG6THT · pith_short_16: JY3TVJJG6THT2LE2 · pith_short_8: JY3TVJJG

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/JY3TVJJG6THT2LE27F4LEHT4FZ \
  | 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: 4e373aa526f4cf3d2c9af978b21e7c2e4e2cc8368a1f1613d0dc56d13cac0666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d9375ca828e92bf4e0032242b17c7696972eea2dc29983a2c1612cc755847ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-02T16:13:27Z",
    "title_canon_sha256": "a9861f9324ee62d8cfcad875df4e8e17aee77774d0edb8de6311e26fab562195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0450",
    "kind": "arxiv",
    "version": 2
  }
}