Pith Number

pith:BPHQ3X23

pith:2012:BPHQ3X2337VQB7TYYXGKAKSZE5

not attested not anchored not stored refs pending

Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions

Mahir Bilen Can, Tim Twelbeck, Yonah Cherniavsky

arxiv:1211.4147 v3 · 2012-11-17 · math.CO · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPHQ3X2337VQB7TYYXGKAKSZE5}

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	2026-05-18T02:52:42.248670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bcf0ddf5bdfeb00fe78c5cca02a59275e0458cf97590ead51308d506c8a15b4

Aliases

arxiv: 1211.4147 · arxiv_version: 1211.4147v3 · doi: 10.48550/arxiv.1211.4147 · pith_short_12: BPHQ3X2337VQ · pith_short_16: BPHQ3X2337VQB7TY · pith_short_8: BPHQ3X23

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/BPHQ3X2337VQB7TYYXGKAKSZE5 \
  | 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: 0bcf0ddf5bdfeb00fe78c5cca02a59275e0458cf97590ead51308d506c8a15b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "035e6397b4625ce308f67bfde5a56b9d4c730d018de7dfa30e2a7170668cd230",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-17T19:07:19Z",
    "title_canon_sha256": "dfbe1fd2e643c8421f4750750daf4ceed3fabf213930ed42e60dab5b5797574d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4147",
    "kind": "arxiv",
    "version": 3
  }
}