Pith Number

pith:SBHX4UDP

pith:2016:SBHX4UDP5KRVXFQQFRD3CTXKFD

not attested not anchored not stored refs pending

Theory of Fundamental Bessel Functions of High Rank

Zhi Qi

arxiv:1612.03553 v5 · 2016-12-12 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBHX4UDP5KRVXFQQFRD3CTXKFD}

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

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields

Receipt and verification

First computed	2026-07-05T02:22:32.534681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

904f7e506feaa35b96102c47b14eea28d960d14514f1c27f55ab7a99567ebbda

Aliases

arxiv: 1612.03553 · arxiv_version: 1612.03553v5 · doi: 10.48550/arxiv.1612.03553 · pith_short_12: SBHX4UDP5KRV · pith_short_16: SBHX4UDP5KRVXFQQ · pith_short_8: SBHX4UDP

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/SBHX4UDP5KRVXFQQFRD3CTXKFD \
  | 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: 904f7e506feaa35b96102c47b14eea28d960d14514f1c27f55ab7a99567ebbda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "744576071c91fa2d64a15ddfe5fface757bd4ba38e6c92d8e2955e8c4703a679",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-12T06:24:06Z",
    "title_canon_sha256": "3a74ecd97ac2fa6a2120398faafd8eb360fbd41c8f7664bfb031d8fd459031bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03553",
    "kind": "arxiv",
    "version": 5
  }
}