Pith Number

pith:U56YBOKT

pith:2012:U56YBOKT655OCOVGCCR52DYCMP

not attested not anchored not stored refs pending

On sums of sparse prime subsets

Boqing Xue, Hongze Li, Zhen Cui

arxiv:1206.2473 v3 · 2012-06-12 · 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{U56YBOKT655OCOVGCCR52DYCMP}

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	2026-05-18T03:30:28.045015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a77d80b953f77ae13aa610a3dd0f0263ed2215b4a15a0643972e9d92b399d2f7

Aliases

arxiv: 1206.2473 · arxiv_version: 1206.2473v3 · doi: 10.48550/arxiv.1206.2473 · pith_short_12: U56YBOKT655O · pith_short_16: U56YBOKT655OCOVG · pith_short_8: U56YBOKT

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/U56YBOKT655OCOVGCCR52DYCMP \
  | 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: a77d80b953f77ae13aa610a3dd0f0263ed2215b4a15a0643972e9d92b399d2f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd905781ff31f65439a9f42f592a84166ac801a75b96bdc2b1a04d2938a2d498",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-12T09:28:09Z",
    "title_canon_sha256": "6909f041eb2a2a933d063b8ed43820f42dd7564a2298e61061b56b9fe47aa685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2473",
    "kind": "arxiv",
    "version": 3
  }
}