Pith Number

pith:KS34FT4G

pith:2014:KS34FT4GAMEBL5IEQLCZBGHOJX

not attested not anchored not stored refs pending

Beyond Endoscopy for the relative trace formula II: global theory

Yiannis Sakellaridis

arxiv:1402.3524 v3 · 2014-02-14 · math.NT · 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{KS34FT4GAMEBL5IEQLCZBGHOJX}

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	2026-05-17T23:52:44.887344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b7c2cf86030815f50482c59098ee4dfbd812c9339e26ad575e84e35b29de30

Aliases

arxiv: 1402.3524 · arxiv_version: 1402.3524v3 · doi: 10.48550/arxiv.1402.3524 · pith_short_12: KS34FT4GAMEB · pith_short_16: KS34FT4GAMEBL5IE · pith_short_8: KS34FT4G

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/KS34FT4GAMEBL5IEQLCZBGHOJX \
  | 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: 54b7c2cf86030815f50482c59098ee4dfbd812c9339e26ad575e84e35b29de30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5512a5adf3d07e0b09c315d2d8d8bf241416166443328593553ce31625fec77e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-14T16:41:56Z",
    "title_canon_sha256": "b3b01a078ad5afb09050b0b87d9ddaa0bfd24c5039d704fbdc184f38ae8a3642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3524",
    "kind": "arxiv",
    "version": 3
  }
}