Pith Number

pith:53P5KQS5

pith:2013:53P5KQS5WAVYS76GBYTFC5CXYE

not attested not anchored not stored refs pending

On the geometric side of the Arthur trace formula for the symplectic group of rank 2

Satoshi Wakatsuki, Werner Hoffmann

arxiv:1310.0541 v1 · 2013-10-02 · 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{53P5KQS5WAVYS76GBYTFC5CXYE}

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	2026-05-18T03:11:34.976206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eedfd5425db02b897fc60e26517457c131286f01358a971254f3294810ef2b36

Aliases

arxiv: 1310.0541 · arxiv_version: 1310.0541v1 · doi: 10.48550/arxiv.1310.0541 · pith_short_12: 53P5KQS5WAVY · pith_short_16: 53P5KQS5WAVYS76G · pith_short_8: 53P5KQS5

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/53P5KQS5WAVYS76GBYTFC5CXYE \
  | 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: eedfd5425db02b897fc60e26517457c131286f01358a971254f3294810ef2b36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ce87608ea2ec6c03b43ef52946c746c3f2793030f50e969f1b03c7d6576ee90",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-02T01:44:01Z",
    "title_canon_sha256": "112d71c9d289df8b8f86af2b5e1e79d5212850ca043d777dd5dc9e8cfb2c1ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0541",
    "kind": "arxiv",
    "version": 1
  }
}