Pith Number

pith:KM7WN7PG

pith:2025:KM7WN7PGSXBM4FMBREBKX5BMFG

not attested not anchored not stored refs pending

A Constructive Heuristic Sieve for the Twin Prime Problem

Yuhang Shi

arxiv:2507.03107 v2 · 2025-07-03 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KM7WN7PGSXBM4FMBREBKX5BMFG}

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.

Cited by

1 paper in Pith

A Constructive Heuristic Sieve for the Twin Prime Problem

Receipt and verification

First computed	2026-07-05T11:35:14.879109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

533f66fde695c2ce15818902abf42c29be1eadcbbf6d36e800300286b2401b48

Aliases

arxiv: 2507.03107 · arxiv_version: 2507.03107v2 · doi: 10.48550/arxiv.2507.03107 · pith_short_12: KM7WN7PGSXBM · pith_short_16: KM7WN7PGSXBM4FMB · pith_short_8: KM7WN7PG

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/KM7WN7PGSXBM4FMBREBKX5BMFG \
  | 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: 533f66fde695c2ce15818902abf42c29be1eadcbbf6d36e800300286b2401b48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "035cf451e1711f90923fbee74d242628ed371eb01d5569e560298af782419c1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-07-03T18:23:56Z",
    "title_canon_sha256": "72bc180054800c045605bd43f82fa0ce303bb4e3969c35e1025836bac03580ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03107",
    "kind": "arxiv",
    "version": 2
  }
}