Pith Number

pith:IBYCJ4BQ

pith:2012:IBYCJ4BQBANTGKDT4HDBRR3DAK

not attested not anchored not stored refs pending

Geodesic restrictions of arithmetic eigenfunctions

Simon Marshall

arxiv:1204.0781 v3 · 2012-04-03 · math.NT · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBYCJ4BQBANTGKDT4HDBRR3DAK}

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	2026-05-18T01:19:03.866626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

407024f030081b332873e1c618c76302bf9d805ad57e4272a9d83971f0401755

Aliases

arxiv: 1204.0781 · arxiv_version: 1204.0781v3 · doi: 10.48550/arxiv.1204.0781 · pith_short_12: IBYCJ4BQBANT · pith_short_16: IBYCJ4BQBANTGKDT · pith_short_8: IBYCJ4BQ

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/IBYCJ4BQBANTGKDT4HDBRR3DAK \
  | 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: 407024f030081b332873e1c618c76302bf9d805ad57e4272a9d83971f0401755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e94175a5a5065fa16034057f27e1580ad193beb5ace0543ccbff3e8efe035ac",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-03T19:55:21Z",
    "title_canon_sha256": "0ed0c579f7265130eb5302bca119dd6017e9c129a1efd8765c0f71d51b01890b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0781",
    "kind": "arxiv",
    "version": 3
  }
}