Pith Number

pith:U4PRXDA7

pith:2011:U4PRXDA7AZEZ3GDRMN46PEGEHY

not attested not anchored not stored refs pending

On Young diagrams, flips and cluster algebras of type A

Mikhail Gorsky

arxiv:1106.2458 v1 · 2011-06-13 · math.CO · math.RA · 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{U4PRXDA7AZEZ3GDRMN46PEGEHY}

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	2026-05-18T04:20:05.778930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a71f1b8c1f06499d98716379e790c43e08794b319dfbdb9dd413b34b6723525d

Aliases

arxiv: 1106.2458 · arxiv_version: 1106.2458v1 · doi: 10.48550/arxiv.1106.2458 · pith_short_12: U4PRXDA7AZEZ · pith_short_16: U4PRXDA7AZEZ3GDR · pith_short_8: U4PRXDA7

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/U4PRXDA7AZEZ3GDRMN46PEGEHY \
  | 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: a71f1b8c1f06499d98716379e790c43e08794b319dfbdb9dd413b34b6723525d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5dedb7b8e7e315f4bf7e9868ec8708de7076cf65f2d41b3d0e24ea91bdaebd9",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-13T14:51:34Z",
    "title_canon_sha256": "bb6ebbe9a799d1b3d1f45cfb7cee8244d0e34bf5284e93d302a7d952ae8e1e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2458",
    "kind": "arxiv",
    "version": 1
  }
}