Pith Number

pith:S7EPVI6O

pith:2012:S7EPVI6OKBSL3TEJFWIDXD3WKC

not attested not anchored not stored refs pending

Differences of the Selberg trace formula and Selberg type zeta functions for Hilbert modular surfaces

Yasuro Gon

arxiv:1208.6086 v1 · 2012-08-30 · 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{S7EPVI6OKBSL3TEJFWIDXD3WKC}

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	2026-05-18T03:46:46.541123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97c8faa3ce5064bdcc892d903b8f7650b0f22888c912ceab4d7f29c57e0d25a2

Aliases

arxiv: 1208.6086 · arxiv_version: 1208.6086v1 · doi: 10.48550/arxiv.1208.6086 · pith_short_12: S7EPVI6OKBSL · pith_short_16: S7EPVI6OKBSL3TEJ · pith_short_8: S7EPVI6O

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/S7EPVI6OKBSL3TEJFWIDXD3WKC \
  | 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: 97c8faa3ce5064bdcc892d903b8f7650b0f22888c912ceab4d7f29c57e0d25a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e8b4ca6133d5599fee452870536aefd46cdc79e021481611f541e2869799e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-30T06:34:29Z",
    "title_canon_sha256": "684d8956940582fdbc87a5f3be91daa7d0b0a06043065ca91bb239b8f2f700ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6086",
    "kind": "arxiv",
    "version": 1
  }
}