Pith Number

pith:ZW7TIUG5

pith:2015:ZW7TIUG5UWU2YXAJUPNEAR47WB

not attested not anchored not stored refs pending

Langlands-Shahidi $L$-functions for $GSpin$ groups and the generic Arthur packet conjecture

Yeansu Kim

arxiv:1507.07156 v4 · 2015-07-26 · 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{ZW7TIUG5UWU2YXAJUPNEAR47WB}

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	2026-05-18T00:27:22.554763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdbf3450dda5a9ac5c09a3da40479fb06b23e2809bfedcd699a14c6e9f4e1766

Aliases

arxiv: 1507.07156 · arxiv_version: 1507.07156v4 · doi: 10.48550/arxiv.1507.07156 · pith_short_12: ZW7TIUG5UWU2 · pith_short_16: ZW7TIUG5UWU2YXAJ · pith_short_8: ZW7TIUG5

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/ZW7TIUG5UWU2YXAJUPNEAR47WB \
  | 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: cdbf3450dda5a9ac5c09a3da40479fb06b23e2809bfedcd699a14c6e9f4e1766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72b1fc999b6d8e94dbfe29636ed54a090a3806a36baaa0a3787a9ca80dc4ea4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-26T01:04:16Z",
    "title_canon_sha256": "cf9e7b5c90e1aa391f39fa09b7b8bd5469557ce8cc987fca0e9c96cc90c18182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07156",
    "kind": "arxiv",
    "version": 4
  }
}