pith. sign in
Pith Number

pith:PGLRAHKK

pith:2015:PGLRAHKKPLEH5WR5IJGTJLP2EY
not attested not anchored not stored refs pending

Polar Grassmannians and their Codes

Ilaria Cardinali, Luca Giuzzi

arxiv:1509.07686 v1 · 2015-09-25 · math.CO · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PGLRAHKKPLEH5WR5IJGTJLP2EY}

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 2026-05-18T01:32:02.171381Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7997101d4a7ac87eda3d424d34adfa2623b1c29e490873e6e726cc12f5237d02

Aliases

arxiv: 1509.07686 · arxiv_version: 1509.07686v1 · doi: 10.48550/arxiv.1509.07686 · pith_short_12: PGLRAHKKPLEH · pith_short_16: PGLRAHKKPLEH5WR5 · pith_short_8: PGLRAHKK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PGLRAHKKPLEH5WR5IJGTJLP2EY \
  | 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: 7997101d4a7ac87eda3d424d34adfa2623b1c29e490873e6e726cc12f5237d02
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0b797f0bb9aac79d7b97b11d21e2ad7b2b65b44f2c2e1224e3867ddf46578e09",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-25T11:35:33Z",
    "title_canon_sha256": "ba2e639925a4c03cbd02f51ae1213bc143bed425f81b65798a24d7740f34af3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07686",
    "kind": "arxiv",
    "version": 1
  }
}