Pith Number

pith:2JR6YSCV

pith:2026:2JR6YSCVICINNSQJSLGQ4EB3KG

not attested not anchored not stored refs pending

Beyond endoscopy for the symmetric square representation: The simple trace formula case

Yuhao Cheng

arxiv:2607.25383 v1 · 2026-07-28 · math.NT · 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{2JR6YSCVICINNSQJSLGQ4EB3KG}

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	2026-07-29T01:25:12.723176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d263ec48554090d6ca0992cd0e103b51b1570eb7cdd88983cd2883c11287369f

Aliases

arxiv: 2607.25383 · arxiv_version: 2607.25383v1 · doi: 10.48550/arxiv.2607.25383 · pith_short_12: 2JR6YSCVICIN · pith_short_16: 2JR6YSCVICINNSQJ · pith_short_8: 2JR6YSCV

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/2JR6YSCVICINNSQJSLGQ4EB3KG \
  | 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: d263ec48554090d6ca0992cd0e103b51b1570eb7cdd88983cd2883c11287369f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a923e60cee8e858eb569bd0f5de58cabec8358d8bd7271ea3149e3c1ed5f4f0c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-28T07:39:01Z",
    "title_canon_sha256": "28ed5023dfaef461fe796c7f6e215c222beea358c920e917c8259dcaa61c6cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25383",
    "kind": "arxiv",
    "version": 1
  }
}