Pith Number

pith:RM3HRKOP

pith:2017:RM3HRKOPZTDQWX3VSILJMLEGVG

not attested not anchored not stored refs pending

W\lowercase{eyl} \lowercase {bound for $p$-power twist of} $GL(2)$ L-\lowercase{functions }

Ritabrata Munshi, Saurabh Kumar Singh

arxiv:1706.03985 v1 · 2017-06-13 · 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{RM3HRKOPZTDQWX3VSILJMLEGVG}

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	2026-05-18T00:42:27.821829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b3678a9cfccc70b5f759216962c86a9a37883779952b3543ac5d1f67ec6f24a

Aliases

arxiv: 1706.03985 · arxiv_version: 1706.03985v1 · doi: 10.48550/arxiv.1706.03985 · pith_short_12: RM3HRKOPZTDQ · pith_short_16: RM3HRKOPZTDQWX3V · pith_short_8: RM3HRKOP

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/RM3HRKOPZTDQWX3VSILJMLEGVG \
  | 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: 8b3678a9cfccc70b5f759216962c86a9a37883779952b3543ac5d1f67ec6f24a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5770b91761c144e47dfb41d70db8c9c81ab46d5863787cd0969d06eec8acd3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-13T10:13:31Z",
    "title_canon_sha256": "d745108e8ac5ce39e2280ae2e6f0fb9b580bf733f77f393db1c4c691c9024a7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03985",
    "kind": "arxiv",
    "version": 1
  }
}