Pith Number

pith:6ZQRAOCY

pith:2018:6ZQRAOCYLSNOMISZGTMZIHIH7W

not attested not anchored not stored refs pending

Cycle integrals of modular functions, Markov geodesics and a conjecture of Kaneko

Ozlem Imamoglu, Paloma Bengoechea

arxiv:1805.08029 v2 · 2018-05-21 · 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{6ZQRAOCYLSNOMISZGTMZIHIH7W}

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	2026-05-17T23:49:27.753037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6611038585c9ae6225934d9941d07fd9658a1352107b31d2a199f628f1d88cf

Aliases

arxiv: 1805.08029 · arxiv_version: 1805.08029v2 · doi: 10.48550/arxiv.1805.08029 · pith_short_12: 6ZQRAOCYLSNO · pith_short_16: 6ZQRAOCYLSNOMISZ · pith_short_8: 6ZQRAOCY

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/6ZQRAOCYLSNOMISZGTMZIHIH7W \
  | 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: f6611038585c9ae6225934d9941d07fd9658a1352107b31d2a199f628f1d88cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "867e1f7f78d11dcd10aec3e892f99b2735fcfd6ca672186d202e9ab2d310efc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-21T13:01:15Z",
    "title_canon_sha256": "4ee18b0b0adab8c2f3efe5c44c6e65f7ec5e0cecfcda44867ad9fb7190f1d45d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08029",
    "kind": "arxiv",
    "version": 2
  }
}