Pith Number

pith:B3Z2TCNT

pith:2026:B3Z2TCNT6XZQ3FL54WO3MNOFOA

not attested not anchored not stored refs pending

Prime Quadruplets and Jump Conditions on Arithmetic Functions

Himaghna Roy Choudhury, Shicheng Wei

arxiv:2606.10331 v1 · 2026-06-09 · 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{B3Z2TCNT6XZQ3FL54WO3MNOFOA}

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	2026-06-10T01:10:12.210874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef3a989b3f5f30d957de59db635c57032282b95ebbf1b55f476f48fc34ab694

Aliases

arxiv: 2606.10331 · arxiv_version: 2606.10331v1 · doi: 10.48550/arxiv.2606.10331 · pith_short_12: B3Z2TCNT6XZQ · pith_short_16: B3Z2TCNT6XZQ3FL5 · pith_short_8: B3Z2TCNT

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/B3Z2TCNT6XZQ3FL54WO3MNOFOA \
  | 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: 0ef3a989b3f5f30d957de59db635c57032282b95ebbf1b55f476f48fc34ab694

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6880b6ae60ab3bc4cf5ab31c26c692e6fa957cbb2ddbbd3f16897357a2e828e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-09T02:25:32Z",
    "title_canon_sha256": "8fcca9f15cc80240531e38ba1d8e497186cc04c36ec1574cdca6867f49dafee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10331",
    "kind": "arxiv",
    "version": 1
  }
}