Pith Number

pith:FWE76SQM

pith:2026:FWE76SQMQ2MSXQ25NYEY2NJ72T

not attested not anchored not stored refs pending

On the trilinear and Ginzburg-Rallis models

Xinrui Wang

arxiv:2606.31402 v1 · 2026-06-30 · 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{FWE76SQMQ2MSXQ25NYEY2NJ72T}

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	2026-07-01T01:18:01.946292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d89ff4a0c86992bc35d6e098d353fd4ce3888baf53ae94479e39512864068cb

Aliases

arxiv: 2606.31402 · arxiv_version: 2606.31402v1 · doi: 10.48550/arxiv.2606.31402 · pith_short_12: FWE76SQMQ2MS · pith_short_16: FWE76SQMQ2MSXQ25 · pith_short_8: FWE76SQM

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/FWE76SQMQ2MSXQ25NYEY2NJ72T \
  | 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: 2d89ff4a0c86992bc35d6e098d353fd4ce3888baf53ae94479e39512864068cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5038660dee8d7edad7c8ac040b90571e3e7394327044641489645f70785e1892",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-30T09:29:38Z",
    "title_canon_sha256": "b436a58486579ade84b8856fe5d79c9d1ecd424d3d8cdac23717c8a5a7285726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31402",
    "kind": "arxiv",
    "version": 1
  }
}