Pith Number

pith:7P7IBJST

pith:2011:7P7IBJSTO7B656IBYBAVKOGWGL

not attested not anchored not stored refs pending

The number of flags in finite vector spaces: Asymptotic normality and Mahonian statistics

Stavros Kousidis, Thomas Bliem

arxiv:1109.4624 v2 · 2011-09-21 · 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{7P7IBJSTO7B656IBYBAVKOGWGL}

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	2026-05-18T03:34:48.562522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbfe80a65377c3eef901c0415538d632fb91a7b2461c3184274f60c5401dad64

Aliases

arxiv: 1109.4624 · arxiv_version: 1109.4624v2 · doi: 10.48550/arxiv.1109.4624 · pith_short_12: 7P7IBJSTO7B6 · pith_short_16: 7P7IBJSTO7B656IB · pith_short_8: 7P7IBJST

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/7P7IBJSTO7B656IBYBAVKOGWGL \
  | 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: fbfe80a65377c3eef901c0415538d632fb91a7b2461c3184274f60c5401dad64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd55bf5d7a115b8a83eb82f29d958f20cd473fb02a8018d3148c7e156789866",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-21T19:57:15Z",
    "title_canon_sha256": "769c337654d63ab0620524a809e689c387ed43b69d23f768955d75648460a7a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4624",
    "kind": "arxiv",
    "version": 2
  }
}