Pith Number

pith:CT4OYHLR

pith:2016:CT4OYHLROVSIEDAFIKYI3DKKR6

not attested not anchored not stored refs pending

The Berenstein-Kirillov group and cactus groups

Max Glick, Michael Chmutov, Pavlo Pylyavskyy

arxiv:1609.02046 v2 · 2016-09-07 · math.CO · math.QA · 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{CT4OYHLROVSIEDAFIKYI3DKKR6}

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.

Cited by

1 paper in Pith

On the action of Bender-Knuth generators of cactus group on the set of short semi-standard Young tableaux

Receipt and verification

First computed	2026-05-18T00:38:13.892628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14f8ec1d717564820c0542b08d8d4a8f9cc48417ce0cebc2d2f1eb50dbd2e310

Aliases

arxiv: 1609.02046 · arxiv_version: 1609.02046v2 · doi: 10.48550/arxiv.1609.02046 · pith_short_12: CT4OYHLROVSI · pith_short_16: CT4OYHLROVSIEDAF · pith_short_8: CT4OYHLR

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/CT4OYHLROVSIEDAFIKYI3DKKR6 \
  | 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: 14f8ec1d717564820c0542b08d8d4a8f9cc48417ce0cebc2d2f1eb50dbd2e310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf4ee85a2384c61c0544a72681a1d4db67d7b20ce3b567441289b301586051c",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-07T16:07:18Z",
    "title_canon_sha256": "10d055cdbd7ea9d21a1befe624c140497084dcc9483bc0145a652216093bf3a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02046",
    "kind": "arxiv",
    "version": 2
  }
}