pith. sign in
Pith Number

pith:BJ7U2NQ7

pith:2013:BJ7U2NQ7JI436644K4HNCRU2RG
not attested not anchored not stored refs pending

Stiefel tropical linear spaces

Alex Fink, Felipe Rinc\'on

arxiv:1305.6329 v3 · 2013-05-27 · math.CO · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BJ7U2NQ7JI436644K4HNCRU2RG}

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 2026-05-18T01:59:59.094993Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0a7f4d361f4a39bf7b9c570ed1469a89be1c3c5b6b1b78774063a004ba4dcbbe

Aliases

arxiv: 1305.6329 · arxiv_version: 1305.6329v3 · doi: 10.48550/arxiv.1305.6329 · pith_short_12: BJ7U2NQ7JI43 · pith_short_16: BJ7U2NQ7JI436644 · pith_short_8: BJ7U2NQ7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BJ7U2NQ7JI436644K4HNCRU2RG \
  | 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: 0a7f4d361f4a39bf7b9c570ed1469a89be1c3c5b6b1b78774063a004ba4dcbbe
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c4fbeae4a8d073fcd043df4fba6f24876833e40e5d2b3bc05d88dfaba14497ae",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-27T21:13:17Z",
    "title_canon_sha256": "db3b0b5b93aca10f27e47d49673061f1221861fc7a772d2b803a6c744ed97455"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6329",
    "kind": "arxiv",
    "version": 3
  }
}