Pith Number

pith:5O2OVXTC

pith:2016:5O2OVXTC7PE6SQFAHQ4QWXG44B

not attested not anchored not stored refs pending

Twists of $GL(3)$ $L$-functions

Ritabrata Munshi

arxiv:1604.08000 v1 · 2016-04-27 · 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{5O2OVXTC7PE6SQFAHQ4QWXG44B}

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.

Cited by

1 paper in Pith

A connection between low-lying zeros and central values of $L$-functions

Receipt and verification

First computed	2026-05-18T01:16:08.441941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb4eade62fbc9e940a03c390b5cdce04c56b8f2718f371ead68ece6af7daf3e

Aliases

arxiv: 1604.08000 · arxiv_version: 1604.08000v1 · doi: 10.48550/arxiv.1604.08000 · pith_short_12: 5O2OVXTC7PE6 · pith_short_16: 5O2OVXTC7PE6SQFA · pith_short_8: 5O2OVXTC

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/5O2OVXTC7PE6SQFAHQ4QWXG44B \
  | 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: ebb4eade62fbc9e940a03c390b5cdce04c56b8f2718f371ead68ece6af7daf3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9859ded4bae7ef55a270eb9180bc4919bd7100ddaa84d0854a932d6fbc60572e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-27T09:52:35Z",
    "title_canon_sha256": "0f8198e8dd1fc61e436b905c2a477173904528e480d9c8947fe6d3f303200650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08000",
    "kind": "arxiv",
    "version": 1
  }
}