Pith Number

pith:6M6OUG6Q

pith:2015:6M6OUG6Q2YYJUHLENI47STFFMD

not attested not anchored not stored refs pending

Almost prime triples and Chen's Theorem

D.R. Heath-Brown, Xiannan Li

arxiv:1504.00533 v2 · 2015-04-02 · 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{6M6OUG6Q2YYJUHLENI47STFFMD}

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	2026-05-18T01:31:11.184165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f33cea1bd0d6309a1d646a39f94ca560edc3b2fc8bd07a4f21bb461e9004d279

Aliases

arxiv: 1504.00533 · arxiv_version: 1504.00533v2 · doi: 10.48550/arxiv.1504.00533 · pith_short_12: 6M6OUG6Q2YYJ · pith_short_16: 6M6OUG6Q2YYJUHLE · pith_short_8: 6M6OUG6Q

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/6M6OUG6Q2YYJUHLENI47STFFMD \
  | 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: f33cea1bd0d6309a1d646a39f94ca560edc3b2fc8bd07a4f21bb461e9004d279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39e8aadc23670b97b46ff62300bd02588f61da268be1344d1849209167dbdc0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-02T13:03:07Z",
    "title_canon_sha256": "104e688a944c27e0fd7c22cf6c4d6c21fda2f11c1ef7220d8a5dbc454b78405b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00533",
    "kind": "arxiv",
    "version": 2
  }
}