Pith Number

pith:4DKX4PZM

pith:2025:4DKX4PZM3XMZYWPAMNKZO6EYI5

not attested not anchored not stored refs pending

Cactus flower spaces and monodromy of Bethe vectors

Joel Kamnitzer, Leonid Rybnikov

arxiv:2507.12829 v1 · 2025-07-17 · math.RT · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DKX4PZM3XMZYWPAMNKZO6EYI5}

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	2026-07-05T11:38:39.992309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d57e3f2cddd99c59e0635597789847445ad401c278325e098aaefd7df5b9e1

Aliases

arxiv: 2507.12829 · arxiv_version: 2507.12829v1 · doi: 10.48550/arxiv.2507.12829 · pith_short_12: 4DKX4PZM3XMZ · pith_short_16: 4DKX4PZM3XMZYWPA · pith_short_8: 4DKX4PZM

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/4DKX4PZM3XMZYWPAMNKZO6EYI5 \
  | 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: e0d57e3f2cddd99c59e0635597789847445ad401c278325e098aaefd7df5b9e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2fea42f6217f550cc97140c0738ef84e678aeeee701489d3e8ddd055dbe8b6e",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-07-17T06:37:59Z",
    "title_canon_sha256": "0348be5aead6807232ce15befe6c2f35380326b0257656798f743173ea1239ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12829",
    "kind": "arxiv",
    "version": 1
  }
}