Pith Number

pith:HFRZU7EK

pith:2023:HFRZU7EKGHHSZOBMJ3ZON7G45F

not attested not anchored not stored refs pending

Grading of affine Weyl semi-groups of Kac-Moody type

Paul Philippe (ICJ, UJM)

arxiv:2306.04514 v3 · 2023-06-07 · math.RT · 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{HFRZU7EKGHHSZOBMJ3ZON7G45F}

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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.

Cited by

1 paper in Pith

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products

Receipt and verification

First computed	2026-07-05T09:47:20.331273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39639a7c8a31cf2cb82c4ef2e6fcdce94f0c6f8e648995c7ff008239bc30b24e

Aliases

arxiv: 2306.04514 · arxiv_version: 2306.04514v3 · doi: 10.48550/arxiv.2306.04514 · pith_short_12: HFRZU7EKGHHS · pith_short_16: HFRZU7EKGHHSZOBM · pith_short_8: HFRZU7EK

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/HFRZU7EKGHHSZOBMJ3ZON7G45F \
  | 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: 39639a7c8a31cf2cb82c4ef2e6fcdce94f0c6f8e648995c7ff008239bc30b24e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c8a713afdf837630b891954d2d1a4abf0b3b4fa699b6fdeae1a9d3719cd3a4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-06-07T15:26:56Z",
    "title_canon_sha256": "bd51ec881e6545610d5066dd5157bdef74782f9874a31eeaa4cb487999abf72a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.04514",
    "kind": "arxiv",
    "version": 3
  }
}