Pith Number

pith:Q76WTZSJ

pith:2012:Q76WTZSJSYBNYE5STQVXBNFA2K

not attested not anchored not stored refs pending

Bounds for twisted symmetric square $L$-functions

Ritabrata Munshi

arxiv:1203.0749 v1 · 2012-03-04 · 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{Q76WTZSJSYBNYE5STQVXBNFA2K}

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	2026-05-18T04:00:50.633534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87fd69e6499602dc13b29c2b70b4a0d28e54014a34eafc8eaad930335345d8c1

Aliases

arxiv: 1203.0749 · arxiv_version: 1203.0749v1 · doi: 10.48550/arxiv.1203.0749 · pith_short_12: Q76WTZSJSYBN · pith_short_16: Q76WTZSJSYBNYE5S · pith_short_8: Q76WTZSJ

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/Q76WTZSJSYBNYE5STQVXBNFA2K \
  | 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: 87fd69e6499602dc13b29c2b70b4a0d28e54014a34eafc8eaad930335345d8c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3399171c997b69d91cb0dd9c61fb5b5dd838b479b10f2f9103773fa701b31f2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-04T16:49:16Z",
    "title_canon_sha256": "8f34309b916196c9638a9b23e19f3b4ad92ae65eaa716bfd10f7e2232f02351d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0749",
    "kind": "arxiv",
    "version": 1
  }
}