Pith Number

pith:EZOBZG2D

pith:2011:EZOBZG2DNGDYVVGBBDS2BQRK6Q

not attested not anchored not stored refs pending

Cyclic sieving of finite Grassmannians and flag varieties

Andrew Berget, Jia Huang

arxiv:1106.1928 v1 · 2011-06-09 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZOBZG2DNGDYVVGBBDS2BQRK6Q}

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	2026-05-18T03:49:32.952570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

265c1c9b4369878ad4c108e5a0c22af421a7ff53f136f63cd817aec082c07273

Aliases

arxiv: 1106.1928 · arxiv_version: 1106.1928v1 · doi: 10.48550/arxiv.1106.1928 · pith_short_12: EZOBZG2DNGDY · pith_short_16: EZOBZG2DNGDYVVGB · pith_short_8: EZOBZG2D

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/EZOBZG2DNGDYVVGBBDS2BQRK6Q \
  | 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: 265c1c9b4369878ad4c108e5a0c22af421a7ff53f136f63cd817aec082c07273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "115f004950f551f4ec9e080a083a8447371d64afa4725835d105fa6815c2e3c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-09T22:28:50Z",
    "title_canon_sha256": "13081dd3d48002b93ddae5cbcd1337f528e4c0bc88b5eac6168eeffcfa66497e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1928",
    "kind": "arxiv",
    "version": 1
  }
}