Pith Number

pith:H25BNGOA

pith:2014:H25BNGOAQP7AFIM2QA4WRZYCPG

not attested not anchored not stored refs pending

Resonances and convex co-compact congruence subgroups of PSL2(Z)

Dmitry Jakobson, Fr\'ed\'eric Naud (LANLG)

arxiv:1409.2809 v1 · 2014-09-09 · math.SP · 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{H25BNGOAQP7AFIM2QA4WRZYCPG}

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	2026-05-18T02:43:09.758141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eba1699c083fe02a19a803968e70279ba4996eaed97b78f9291a59ed38d89f0

Aliases

arxiv: 1409.2809 · arxiv_version: 1409.2809v1 · doi: 10.48550/arxiv.1409.2809 · pith_short_12: H25BNGOAQP7A · pith_short_16: H25BNGOAQP7AFIM2 · pith_short_8: H25BNGOA

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/H25BNGOAQP7AFIM2QA4WRZYCPG \
  | 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: 3eba1699c083fe02a19a803968e70279ba4996eaed97b78f9291a59ed38d89f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c71c6d5cdd0e76c10c54fe986f17dc64402bc402e7e6fdf9e6aa93fe1230e9e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-09-09T16:45:33Z",
    "title_canon_sha256": "b7d58bb74fd20a25cc92fa13ca7f93bc10739c429fa2cb5aff2e8580ff937a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2809",
    "kind": "arxiv",
    "version": 1
  }
}