Pith Number

pith:542XLPIC

pith:2026:542XLPICLR4ROQI6DXBCI4VRCS

not attested not anchored not stored refs pending

Measures and generalizations of dual Littlewood identities

Bin Jiang, Naihuan Jing, Qianyi Ye, Zhijun Li, Zhongren Cai

arxiv:2607.14362 v1 · 2026-07-15 · math.CO · math-ph · math.MP · 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{542XLPICLR4ROQI6DXBCI4VRCS}

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	2026-07-17T00:21:07.898410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef3575bd025c7917411e1dc22472b114939e389af1fb62b574d52a3561f59400

Aliases

arxiv: 2607.14362 · arxiv_version: 2607.14362v1 · doi: 10.48550/arxiv.2607.14362 · pith_short_12: 542XLPICLR4R · pith_short_16: 542XLPICLR4ROQI6 · pith_short_8: 542XLPIC

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/542XLPICLR4ROQI6DXBCI4VRCS \
  | 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: ef3575bd025c7917411e1dc22472b114939e389af1fb62b574d52a3561f59400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "237e9572e943d9971ddc118b81e86498cb8ff458fd9fffd71a518662f86bcede",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-15T20:54:09Z",
    "title_canon_sha256": "b69575bc93d4da062956a7c9a7f330ecc0070561b08a0a7c8f4269ccd4bf0e67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14362",
    "kind": "arxiv",
    "version": 1
  }
}