Pith Number

pith:JNPU5HGP

pith:2016:JNPU5HGPUSXOOWYRLZ4SCAOONK

not attested not anchored not stored refs pending

Bessel functions and local converse conjecture of Jacquet

Jingsong Chai

arxiv:1601.05450 v2 · 2016-01-19 · 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{JNPU5HGPUSXOOWYRLZ4SCAOONK}

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	2026-05-18T00:56:21.083602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b5f4e9ccfa4aee75b115e792101ce6a98eb0022be50a78f5361892337f2c662

Aliases

arxiv: 1601.05450 · arxiv_version: 1601.05450v2 · doi: 10.48550/arxiv.1601.05450 · pith_short_12: JNPU5HGPUSXO · pith_short_16: JNPU5HGPUSXOOWYR · pith_short_8: JNPU5HGP

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/JNPU5HGPUSXOOWYRLZ4SCAOONK \
  | 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: 4b5f4e9ccfa4aee75b115e792101ce6a98eb0022be50a78f5361892337f2c662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854c9482d2ef02c986e20493b248e4527f0c59d7f776c4f490d95e3b120b832c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-19T07:57:10Z",
    "title_canon_sha256": "e05d8ddf3f5a814c77e25892dc790de983b249bb25018bf0b0a907e5c48554d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05450",
    "kind": "arxiv",
    "version": 2
  }
}