Pith Number

pith:LOIMDYRY

pith:2018:LOIMDYRY5MU2AO3S2YDOCPTWZR

not attested not anchored not stored refs pending

Bounds for the number of cohomological automorphic representations of $GL_3/\mathbb{Q}$ in the weight aspect

Simon Marshall

arxiv:1812.03134 v1 · 2018-12-07 · 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{LOIMDYRY5MU2AO3S2YDOCPTWZR}

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	2026-05-17T23:58:50.846864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b90c1e238eb29a03b72d606e13e76cc6df8f1ba3e9340fb7308d6eee77f1378

Aliases

arxiv: 1812.03134 · arxiv_version: 1812.03134v1 · doi: 10.48550/arxiv.1812.03134 · pith_short_12: LOIMDYRY5MU2 · pith_short_16: LOIMDYRY5MU2AO3S · pith_short_8: LOIMDYRY

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/LOIMDYRY5MU2AO3S2YDOCPTWZR \
  | 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: 5b90c1e238eb29a03b72d606e13e76cc6df8f1ba3e9340fb7308d6eee77f1378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb42bfe9b2a125c4a4748a3f4bf0f679f70e2535a212502a72bb2a82a42b11e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-07T17:48:14Z",
    "title_canon_sha256": "337f62b6acc106f848c5694b712200dee0474c711d36ae7bf88497705985139f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03134",
    "kind": "arxiv",
    "version": 1
  }
}