Pith Number

pith:HAI5AUOF

pith:2012:HAI5AUOF2BRZFDNL5RM7PDCT4H

not attested not anchored not stored refs pending

Fourier coefficients of automorphic forms, character variety orbits, and small representations

Siddhartha Sahi, Stephen Miller

arxiv:1202.0210 v2 · 2012-02-01 · math.NT · math.GR · 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{HAI5AUOF2BRZFDNL5RM7PDCT4H}

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	2026-05-18T03:57:52.876141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3811d051c5d063928dabec59f78c53e1c736dba3a3185f99cbba107b8394cb64

Aliases

arxiv: 1202.0210 · arxiv_version: 1202.0210v2 · doi: 10.48550/arxiv.1202.0210 · pith_short_12: HAI5AUOF2BRZ · pith_short_16: HAI5AUOF2BRZFDNL · pith_short_8: HAI5AUOF

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/HAI5AUOF2BRZFDNL5RM7PDCT4H \
  | 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: 3811d051c5d063928dabec59f78c53e1c736dba3a3185f99cbba107b8394cb64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a8fbba3fc3908b6f834e5887b971808f9ac111ebfcb1b67798d08a8ed677fe8",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-01T16:47:43Z",
    "title_canon_sha256": "7e1d75cf0d3fbcbb9c8e2042fdae29cd35ea0f4826f7cc8635b11291d596a030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0210",
    "kind": "arxiv",
    "version": 2
  }
}