Pith Number

pith:DG3LWZJ5

pith:2015:DG3LWZJ555XXK4VM4INL2Q5QKC

not attested not anchored not stored refs pending

On the variance of the error term in the hyperbolic circle problem

Giacomo Cherubini, Morten S. Risager

arxiv:1512.04779 v1 · 2015-12-15 · 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{DG3LWZJ555XXK4VM4INL2Q5QKC}

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	2026-05-18T01:24:15.562620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b6bb653def6f7572ace21abd43b050875ef0932a87cf4a9af792e9e0c2712d

Aliases

arxiv: 1512.04779 · arxiv_version: 1512.04779v1 · doi: 10.48550/arxiv.1512.04779 · pith_short_12: DG3LWZJ555XX · pith_short_16: DG3LWZJ555XXK4VM · pith_short_8: DG3LWZJ5

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/DG3LWZJ555XXK4VM4INL2Q5QKC \
  | 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: 19b6bb653def6f7572ace21abd43b050875ef0932a87cf4a9af792e9e0c2712d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e9cd687990599a131ef98926db947c74aca6243dc67db8c1e6e673ab76da986",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-15T13:33:03Z",
    "title_canon_sha256": "8610a84f97ce69c3077c5c1a67a921895d2522c19f80b50b1c4f79b51b5fb1ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04779",
    "kind": "arxiv",
    "version": 1
  }
}