Pith Number

pith:BQG7I56Q

pith:2013:BQG7I56QPBNH5YPULSNI2WS3BR

not attested not anchored not stored refs pending

Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow

Anke D. Pohl

arxiv:1303.0528 v3 · 2013-03-03 · math.SP · math.DS · 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{BQG7I56QPBNH5YPULSNI2WS3BR}

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	2026-05-18T01:23:40.428105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c0df477d0785a7ee1f45c9a8d5a5b0c5569522deb36854f92d2f9bf7c0a35bd

Aliases

arxiv: 1303.0528 · arxiv_version: 1303.0528v3 · doi: 10.48550/arxiv.1303.0528 · pith_short_12: BQG7I56QPBNH · pith_short_16: BQG7I56QPBNH5YPU · pith_short_8: BQG7I56Q

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/BQG7I56QPBNH5YPULSNI2WS3BR \
  | 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: 0c0df477d0785a7ee1f45c9a8d5a5b0c5569522deb36854f92d2f9bf7c0a35bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcfa05acb5e91e27a6aa8f6782555687a22fe1341f0376b0981bd0da91ab9956",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-03-03T16:52:45Z",
    "title_canon_sha256": "c9e8b2152588f53e4dbf4925e68755dc66a498f6ee7ab38e95d22c30f7b3622e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0528",
    "kind": "arxiv",
    "version": 3
  }
}