Pith Number

pith:PTTLCGP6

pith:2011:PTTLCGP6Z322EFCSDQFP7RPIKD

not attested not anchored not stored refs pending

Higher weights of Grassmann codes in terms of properties of Schubert unions

Arunkumar R. Patil, Harish K. Pillai, Sudhir R. Ghorpade, Trygve Johnsen

arxiv:1105.0087 v1 · 2011-04-30 · math.AG · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTTLCGP6Z322EFCSDQFP7RPIKD}

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	2026-05-18T04:23:11.353739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce6b119fecef5a214521c0affc5e850ca39b704abce34a657b305de0b7ffb9b

Aliases

arxiv: 1105.0087 · arxiv_version: 1105.0087v1 · doi: 10.48550/arxiv.1105.0087 · pith_short_12: PTTLCGP6Z322 · pith_short_16: PTTLCGP6Z322EFCS · pith_short_8: PTTLCGP6

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/PTTLCGP6Z322EFCSDQFP7RPIKD \
  | 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: 7ce6b119fecef5a214521c0affc5e850ca39b704abce34a657b305de0b7ffb9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "655216824007dea39597b47d801d6a46e2e003d2c020dfd53c47d3ae43bab7c8",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-30T13:41:58Z",
    "title_canon_sha256": "824c4f86c31041bb49163491b4f6f424fa2b2041088f55b66645ebeeb565e429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0087",
    "kind": "arxiv",
    "version": 1
  }
}