Pith Number

pith:NJS4YR76

pith:2026:NJS4YR76MTWJ6WRU4INKVS2ZOB

not attested not anchored not stored refs pending

Random linear configurations in dense sets and primes

Joni Ter\"av\"ainen, Lasse Grimmelt

arxiv:2607.28091 v1 · 2026-07-30 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJS4YR76MTWJ6WRU4INKVS2ZOB}

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	2026-07-31T01:35:43.763311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

6a65cc47fe64ec9f5a34e21aaacb5970722f986f9417e8a6c0f996b4d6fbea53

Aliases

arxiv: 2607.28091 · arxiv_version: 2607.28091v1 · doi: 10.48550/arxiv.2607.28091 · pith_short_12: NJS4YR76MTWJ · pith_short_16: NJS4YR76MTWJ6WRU · pith_short_8: NJS4YR76

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/NJS4YR76MTWJ6WRU4INKVS2ZOB \
  | 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: 6a65cc47fe64ec9f5a34e21aaacb5970722f986f9417e8a6c0f996b4d6fbea53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32441f2202adbe80228d520be3d287c89923ba860e9b6e7ca4426e0dcde4efe0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-30T12:00:59Z",
    "title_canon_sha256": "d64168a8285354b6fd301290066918f4a75c337f9569c807cc1d09b16540188e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28091",
    "kind": "arxiv",
    "version": 1
  }
}