Pith Number

pith:RG57MO6Z

pith:2021:RG57MO6Z3IC4Z55ZCINX2KMY4V

not attested not anchored not stored refs pending

A coarse geometric expansion of a variant of Arthur's truncated traces and some applications

Hongjie Yu

arxiv:2109.10245 v4 · 2021-09-21 · 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{RG57MO6Z3IC4Z55ZCINX2KMY4V}

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	2026-07-05T05:48:31.159173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89bbf63bd9da05ccf7b9121b7d2998e558bfb414edb0023307e97e084e636c3d

Aliases

arxiv: 2109.10245 · arxiv_version: 2109.10245v4 · doi: 10.48550/arxiv.2109.10245 · pith_short_12: RG57MO6Z3IC4 · pith_short_16: RG57MO6Z3IC4Z55Z · pith_short_8: RG57MO6Z

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/RG57MO6Z3IC4Z55ZCINX2KMY4V \
  | 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: 89bbf63bd9da05ccf7b9121b7d2998e558bfb414edb0023307e97e084e636c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d62a1ccc6da090c2322bb28d8b89e1deb1d89e17bcf95e766422e0daa476fb7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-09-21T15:12:31Z",
    "title_canon_sha256": "820a4c3d6ebe4f54fb71641a4013264e190de7b9220e42fa43e6b3fee3da1009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.10245",
    "kind": "arxiv",
    "version": 4
  }
}