Pith Number

pith:WOKCKQE4

pith:2012:WOKCKQE4FGI5ZATCHY4TMRJ25F

not attested not anchored not stored refs pending

Periods and harmonic analysis on spherical varieties

Akshay Venkatesh, Yiannis Sakellaridis

arxiv:1203.0039 v4 · 2012-02-29 · math.RT · 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{WOKCKQE4FGI5ZATCHY4TMRJ25F}

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	2026-05-18T00:49:00.460654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b39425409c2991dc82623e3936453ae969a9250deef905bb5f790164b4ef75df

Aliases

arxiv: 1203.0039 · arxiv_version: 1203.0039v4 · doi: 10.48550/arxiv.1203.0039 · pith_short_12: WOKCKQE4FGI5 · pith_short_16: WOKCKQE4FGI5ZATC · pith_short_8: WOKCKQE4

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/WOKCKQE4FGI5ZATCHY4TMRJ25F \
  | 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: b39425409c2991dc82623e3936453ae969a9250deef905bb5f790164b4ef75df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "851ce61af18ad7e38c44b7a022b5b14ae02d7f1e0b9e12e75d4360a3dce5f44a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-02-29T22:48:44Z",
    "title_canon_sha256": "e3cd68f26dec9867c8f046c8b82f58c583486019ad273f3cbefb614e579b7ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0039",
    "kind": "arxiv",
    "version": 4
  }
}