Pith Number

pith:YDLHJ7OQ

pith:2010:YDLHJ7OQYT6KNSCZYTBRLQ6GJV

not attested not anchored not stored refs pending

Bounds for multiplicities of automorphic forms of cohomological type on GL_2

Simon Marshall

arxiv:1002.3569 v5 · 2010-02-18 · 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{YDLHJ7OQYT6KNSCZYTBRLQ6GJV}

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	2026-05-18T04:42:14.605788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0d674fdd0c4fca6c859c4c315c3c64d5a6741841b41b409a49e2c9ceebbdc44

Aliases

arxiv: 1002.3569 · arxiv_version: 1002.3569v5 · doi: 10.48550/arxiv.1002.3569 · pith_short_12: YDLHJ7OQYT6K · pith_short_16: YDLHJ7OQYT6KNSCZ · pith_short_8: YDLHJ7OQ

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/YDLHJ7OQYT6KNSCZYTBRLQ6GJV \
  | 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: c0d674fdd0c4fca6c859c4c315c3c64d5a6741841b41b409a49e2c9ceebbdc44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c085ad03c6938f3025990acc31f5131cb253f2cc324f1f4fbfc79037210564",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-02-18T17:08:50Z",
    "title_canon_sha256": "e138af1353e798bf862e7b1c1fb3f4d19d84040ba53025192db3e3e3948562a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3569",
    "kind": "arxiv",
    "version": 5
  }
}