Pith Number

pith:DCAGQCZ4

pith:2015:DCAGQCZ4MVPPD7BUJUJE7L2AMK

not attested not anchored not stored refs pending

Beyond Endoscopy via the Trace Formula-I: Poisson Summation and Contributions of Special Representations

Salim Ali Altug

arxiv:1506.02218 v1 · 2015-06-07 · 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{DCAGQCZ4MVPPD7BUJUJE7L2AMK}

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	2026-05-18T01:27:53.985213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1880680b3c655ef1fc344d124faf40629fc87abc9bdd091b81b711ae7f77009a

Aliases

arxiv: 1506.02218 · arxiv_version: 1506.02218v1 · doi: 10.48550/arxiv.1506.02218 · pith_short_12: DCAGQCZ4MVPP · pith_short_16: DCAGQCZ4MVPPD7BU · pith_short_8: DCAGQCZ4

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/DCAGQCZ4MVPPD7BUJUJE7L2AMK \
  | 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: 1880680b3c655ef1fc344d124faf40629fc87abc9bdd091b81b711ae7f77009a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0bae6c4bb97a3913f27cfd09e97d4453486f9634b6fcca47f4444c9b13c9fbf",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-07T05:10:17Z",
    "title_canon_sha256": "9dbc2b5fb0f883a8bc12745e4a1278da4eab398b11b666725ca2dd585b5a191a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02218",
    "kind": "arxiv",
    "version": 1
  }
}