Pith Number

pith:TBA4OVSF

pith:2025:TBA4OVSFF77OLV2PAUHH6MZVKZ

not attested not anchored not stored refs pending

Unitary Friedberg-Jacquet periods and their twists: Relative trace formulas

Jingwei Xiao, Spencer Leslie, Wei Zhang

arxiv:2503.09664 v2 · 2025-03-12 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBA4OVSFF77OLV2PAUHH6MZVKZ}

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	2026-07-05T10:40:17.881562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9841c756452ffee5d74f050e7f333556442a1f07830a12fb6d0676b6cd32b669

Aliases

arxiv: 2503.09664 · arxiv_version: 2503.09664v2 · doi: 10.48550/arxiv.2503.09664 · pith_short_12: TBA4OVSFF77O · pith_short_16: TBA4OVSFF77OLV2P · pith_short_8: TBA4OVSF

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/TBA4OVSFF77OLV2PAUHH6MZVKZ \
  | 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: 9841c756452ffee5d74f050e7f333556442a1f07830a12fb6d0676b6cd32b669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6449b8d9ee146238a290aacb91bb0faafd62937e40797cb8faa5172d5cb43c2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-03-12T16:13:40Z",
    "title_canon_sha256": "1b52d87a385a55feb728540d969c698cfb8ab0dd11aae51ef2e5c99bff1016d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.09664",
    "kind": "arxiv",
    "version": 2
  }
}