Pith Number

pith:3XCHGZT6

pith:2013:3XCHGZT6AU335NPD4MKCUHUBRW

not attested not anchored not stored refs pending

Pair correlation of hyperbolic lattice angles

Alexandru A. Popa, Alexandru Zaharescu, Florin P. Boca

arxiv:1302.5067 v3 · 2013-02-20 · 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{3XCHGZT6AU335NPD4MKCUHUBRW}

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	2026-05-18T02:55:18.598280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddc473667e0537beb5e3e3142a1e818d96e106d2fc693aed364a1124c18a00bc

Aliases

arxiv: 1302.5067 · arxiv_version: 1302.5067v3 · doi: 10.48550/arxiv.1302.5067 · pith_short_12: 3XCHGZT6AU33 · pith_short_16: 3XCHGZT6AU335NPD · pith_short_8: 3XCHGZT6

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/3XCHGZT6AU335NPD4MKCUHUBRW \
  | 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: ddc473667e0537beb5e3e3142a1e818d96e106d2fc693aed364a1124c18a00bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e36331839895018b88afddfa5894d307e754f623e835c0a6c60ba6d5e15c03ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-20T18:46:32Z",
    "title_canon_sha256": "a01f887c10389ba6d507ae072f77a7c6a0e3700495c61b5ffdb4d8492face990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5067",
    "kind": "arxiv",
    "version": 3
  }
}