Pith Number

pith:7ALY3CU2

pith:2026:7ALY3CU22KBPLG2YIVRJXTZKAK

not attested not anchored not stored refs pending

Folding shuffle algebras and twisted $q$-characters

Andrei Negu\c{t}, Keyu Wang

arxiv:2606.02471 v1 · 2026-06-01 · math.RT · 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{7ALY3CU22KBPLG2YIVRJXTZKAK}

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	2026-06-02T03:05:07.124858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8178d8a9ad282f59b5845629bcf2a028119550dab4968854248edd7f5f7973c

Aliases

arxiv: 2606.02471 · arxiv_version: 2606.02471v1 · doi: 10.48550/arxiv.2606.02471 · pith_short_12: 7ALY3CU22KBP · pith_short_16: 7ALY3CU22KBPLG2Y · pith_short_8: 7ALY3CU2

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/7ALY3CU22KBPLG2YIVRJXTZKAK \
  | 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: f8178d8a9ad282f59b5845629bcf2a028119550dab4968854248edd7f5f7973c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75158644b6bc4ceca08976f54748f48eec6772fa5299170cb97bb45f9498d7b9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-01T16:44:51Z",
    "title_canon_sha256": "b408d6cc669f112f1113a8d616746db0641bf6f8c0020b8151118143a6b08ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02471",
    "kind": "arxiv",
    "version": 1
  }
}