Pith Number

pith:GW3C3QMD

pith:2011:GW3C3QMDWE57AVMMHOFCTDMOCK

not attested not anchored not stored refs pending

Non-split Sums of Coefficients of GL(2)-Automorphic Forms

Jacob Tsimerman, Nicolas Templier

arxiv:1106.1139 v2 · 2011-06-06 · 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{GW3C3QMDWE57AVMMHOFCTDMOCK}

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	2026-05-18T04:20:24.362576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35b62dc183b13bf0558c3b8a298d8e12ab90c4b9e4d9a6087f876838e2b7d17b

Aliases

arxiv: 1106.1139 · arxiv_version: 1106.1139v2 · doi: 10.48550/arxiv.1106.1139 · pith_short_12: GW3C3QMDWE57 · pith_short_16: GW3C3QMDWE57AVMM · pith_short_8: GW3C3QMD

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/GW3C3QMDWE57AVMMHOFCTDMOCK \
  | 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: 35b62dc183b13bf0558c3b8a298d8e12ab90c4b9e4d9a6087f876838e2b7d17b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc2bffa7468a7e18ebb49513c7eb136d616a7878895ab8b6d6a51d9b573d5349",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-06T18:13:03Z",
    "title_canon_sha256": "4560034bd48f9025a50f32a1ac0f720b5a30f2111b394a98166b6ec144571b0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1139",
    "kind": "arxiv",
    "version": 2
  }
}