Pith Number

pith:GKHHQMEI

pith:2011:GKHHQMEIG64NP56L67QLRNI4JX

not attested not anchored not stored refs pending

Minimal length elements of extended affine Coxeter groups, II

Sian Nie, Xuhua He

arxiv:1112.0824 v1 · 2011-12-05 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKHHQMEIG64NP56L67QLRNI4JX}

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	2026-05-17T23:53:19.086433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

328e78308837b8d7f7cbf7e0b8b51c4dd2eb31c0ce8462584266576cfad445c9

Aliases

arxiv: 1112.0824 · arxiv_version: 1112.0824v1 · doi: 10.48550/arxiv.1112.0824 · pith_short_12: GKHHQMEIG64N · pith_short_16: GKHHQMEIG64NP56L · pith_short_8: GKHHQMEI

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/GKHHQMEIG64NP56L67QLRNI4JX \
  | 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: 328e78308837b8d7f7cbf7e0b8b51c4dd2eb31c0ce8462584266576cfad445c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21504372e2457e05d7943440cc1a95d5c4a301701423535b0584c76869053039",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-05T03:21:51Z",
    "title_canon_sha256": "d21abfd4d6bdd533c09fa666159ff5d712a5d55b5c394897117db9381d445a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0824",
    "kind": "arxiv",
    "version": 1
  }
}