Pith Number

pith:MOBA4JCD

pith:2013:MOBA4JCD3Z4KNEM42A2SP3UIMO

not attested not anchored not stored refs pending

On the Pair Correlation Density for Hyperbolic Angles

Alex Kontorovich, Dubi Kelmer

arxiv:1308.0754 v3 · 2013-08-03 · 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{MOBA4JCD3Z4KNEM42A2SP3UIMO}

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	2026-05-18T01:28:15.153367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63820e2443de78a6919cd03527ee8863bc8620c1e07068d0c184c526bcd59b0d

Aliases

arxiv: 1308.0754 · arxiv_version: 1308.0754v3 · doi: 10.48550/arxiv.1308.0754 · pith_short_12: MOBA4JCD3Z4K · pith_short_16: MOBA4JCD3Z4KNEM4 · pith_short_8: MOBA4JCD

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/MOBA4JCD3Z4KNEM42A2SP3UIMO \
  | 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: 63820e2443de78a6919cd03527ee8863bc8620c1e07068d0c184c526bcd59b0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7394d2060af13347d8665a6187c699912e89e2563c22244fc8303d881ba70747",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-03T22:22:25Z",
    "title_canon_sha256": "0d577492709d48dee1032d0a79afff3963d68929da3d6ac15a27762d2c340a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0754",
    "kind": "arxiv",
    "version": 3
  }
}