Pith Number

pith:DVU5SSAF

pith:2012:DVU5SSAFXUJAODPEMQY6KQXKOA

not attested not anchored not stored refs pending

Correlations of multiplicities in length spectra for congruence subgroups

Yasufumi Hashimoto

arxiv:1202.2603 v1 · 2012-02-13 · math.NT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVU5SSAFXUJAODPEMQY6KQXKOA}

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	2026-05-18T02:27:49.823281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d69d94805bd12070de46431e542ea703e9260ddf925f046efef4d44cf6e762d

Aliases

arxiv: 1202.2603 · arxiv_version: 1202.2603v1 · doi: 10.48550/arxiv.1202.2603 · pith_short_12: DVU5SSAFXUJA · pith_short_16: DVU5SSAFXUJAODPE · pith_short_8: DVU5SSAF

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/DVU5SSAFXUJAODPEMQY6KQXKOA \
  | 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: 1d69d94805bd12070de46431e542ea703e9260ddf925f046efef4d44cf6e762d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e30a4d3b9ca3f6f670d744cd8cbf05eb629bc2aa627761eda545ab724250fa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-13T01:53:44Z",
    "title_canon_sha256": "4c1b22a2ae430481260430278882c334b32d38e98e9a88f568f71445a469e26f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2603",
    "kind": "arxiv",
    "version": 1
  }
}