Pith Number

pith:HLYNADGJ

pith:2016:HLYNADGJQC32767E7KWMQU3OXM

not attested not anchored not stored refs pending

On the generalized circle problem for a random lattice in large dimension

Anders S\"odergren, Andreas Str\"ombergsson

arxiv:1611.06332 v1 · 2016-11-19 · math.NT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLYNADGJQC32767E7KWMQU3OXM}

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	2026-05-18T00:57:39.006976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3af0d00cc980b7affbe4faacc8536ebb0bc93804ea2c018cfebf77ab3c79bb18

Aliases

arxiv: 1611.06332 · arxiv_version: 1611.06332v1 · doi: 10.48550/arxiv.1611.06332 · pith_short_12: HLYNADGJQC32 · pith_short_16: HLYNADGJQC32767E · pith_short_8: HLYNADGJ

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/HLYNADGJQC32767E7KWMQU3OXM \
  | 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: 3af0d00cc980b7affbe4faacc8536ebb0bc93804ea2c018cfebf77ab3c79bb18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b41d69468b95793fd906e1aa253773f2d17d42d5473eeab2e2e019dadd8c87cc",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-19T09:46:33Z",
    "title_canon_sha256": "8582b98fc82496df7991df92d53606842fcfac2cd1064bf9a3550384a72a175a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06332",
    "kind": "arxiv",
    "version": 1
  }
}