Pith Number

pith:6ZJNRQIH

pith:2018:6ZJNRQIHXZKV3BRR77SPXUBHON

not attested not anchored not stored refs pending

Bessel Identities in the Waldspurger Correspondence over the Complex Numbers

Jingsong Chai, Zhi Qi

arxiv:1802.01229 v2 · 2018-02-05 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZJNRQIHXZKV3BRR77SPXUBHON}

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	2026-05-17T23:49:53.022648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f652d8c107be555d8631ffe4fbd0277353cae022ed8cb3082de41008f0bd4dd5

Aliases

arxiv: 1802.01229 · arxiv_version: 1802.01229v2 · doi: 10.48550/arxiv.1802.01229 · pith_short_12: 6ZJNRQIHXZKV · pith_short_16: 6ZJNRQIHXZKV3BRR · pith_short_8: 6ZJNRQIH

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/6ZJNRQIHXZKV3BRR77SPXUBHON \
  | 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: f652d8c107be555d8631ffe4fbd0277353cae022ed8cb3082de41008f0bd4dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd5fcbd15ed877e28481df1a7b2b0c8c38bde6c60dbb44b22043a040c85bd67c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-02-05T01:21:41Z",
    "title_canon_sha256": "2b64c5c1a3e4a3ef30a30fbb1caa5d6568718cda87d3edddcec10d9f069f3719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01229",
    "kind": "arxiv",
    "version": 2
  }
}