Pith Number

pith:K6Y3RFIE

pith:2012:K6Y3RFIE7MCOK7QATJ6DLU7RT2

not attested not anchored not stored refs pending

Bijective Projections on Parabolic Quotients of Affine Weyl Groups

Alexander Youcis, Elizabeth Mili\'cevi\'c (Beazley), Margaret Nichols, Min Hae Park, Xiaolin Shi

arxiv:1212.0771 v2 · 2012-12-04 · math.CO · 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{K6Y3RFIE7MCOK7QATJ6DLU7RT2}

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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	2026-05-18T01:11:47.022267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57b1b89504fb04e57e009a7c35d3f19ea8638e9129d8dd97e6ac9eeaf79dcf1c

Aliases

arxiv: 1212.0771 · arxiv_version: 1212.0771v2 · doi: 10.48550/arxiv.1212.0771 · pith_short_12: K6Y3RFIE7MCO · pith_short_16: K6Y3RFIE7MCOK7QA · pith_short_8: K6Y3RFIE

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/K6Y3RFIE7MCOK7QATJ6DLU7RT2 \
  | 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: 57b1b89504fb04e57e009a7c35d3f19ea8638e9129d8dd97e6ac9eeaf79dcf1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdf1ddfc197c9d7c291566cf3ad493593fda0dca24f1ec0c0310ec7565c4ec9e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-04T15:45:36Z",
    "title_canon_sha256": "4a15f74c5a71c7c2b6b9c9bfdc0edd069666b3683c9af241dfd8cb491768ea1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0771",
    "kind": "arxiv",
    "version": 2
  }
}