Pith Number

pith:KGCXWVOK

pith:2017:KGCXWVOKVK4RNSECYFI7XRHCYI

not attested not anchored not stored refs pending

Exceptional poles of local $L$-functions for $GSp(4)$ with respect to split Bessel models

Rainer Weissauer

arxiv:1712.06370 v2 · 2017-12-18 · 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{KGCXWVOKVK4RNSECYFI7XRHCYI}

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	2026-05-18T00:03:24.794762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51857b55caaab916c882c151fbc4e2c21c8d287d52171c1fc3e8123f407c5360

Aliases

arxiv: 1712.06370 · arxiv_version: 1712.06370v2 · doi: 10.48550/arxiv.1712.06370 · pith_short_12: KGCXWVOKVK4R · pith_short_16: KGCXWVOKVK4RNSEC · pith_short_8: KGCXWVOK

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/KGCXWVOKVK4RNSECYFI7XRHCYI \
  | 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: 51857b55caaab916c882c151fbc4e2c21c8d287d52171c1fc3e8123f407c5360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81ca39d6a403c0378d2968dcd4f75c0b0ec4c8e848655c159ace093181b78e80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-18T12:37:46Z",
    "title_canon_sha256": "7b31ebcd028d887637c68beb0288a3b57621f978bae21a5f8ffa15b7d769e552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06370",
    "kind": "arxiv",
    "version": 2
  }
}