Pith Number

pith:3SBY5HPM

pith:2017:3SBY5HPMFYNPARQVPXRYEK5MZJ

not attested not anchored not stored refs pending

On the Atkin $U_t$-operator for $\Gamma_0(t)$-invariant Drinfeld cusp forms

Andrea Bandini, Maria Valentino

arxiv:1710.01038 v1 · 2017-10-03 · 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{3SBY5HPMFYNPARQVPXRYEK5MZJ}

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	2026-05-18T00:33:45.448275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc838e9dec2e1af046157de3822bacca4a8485295b9be617eb1ea3e90b274deb

Aliases

arxiv: 1710.01038 · arxiv_version: 1710.01038v1 · doi: 10.48550/arxiv.1710.01038 · pith_short_12: 3SBY5HPMFYNP · pith_short_16: 3SBY5HPMFYNPARQV · pith_short_8: 3SBY5HPM

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/3SBY5HPMFYNPARQVPXRYEK5MZJ \
  | 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: dc838e9dec2e1af046157de3822bacca4a8485295b9be617eb1ea3e90b274deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235cdd037c89635e171743da5df9bc5f88c973226c244d597f5e27c0087be907",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-03T09:14:16Z",
    "title_canon_sha256": "db8fb29cf819bb2b4264dcb5b76a5e0749addc93226e2c4f7b9a81505cc363a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01038",
    "kind": "arxiv",
    "version": 1
  }
}