Pith Number

pith:GM4OOEU3

pith:2015:GM4OOEU34O7U2TXRUNZFJLL4RB

not attested not anchored not stored refs pending

A mean value of the representation function for the sum of two primes in arithmetic progressions

Yuta Suzuki

arxiv:1504.01967 v1 · 2015-04-08 · 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{GM4OOEU34O7U2TXRUNZFJLL4RB}

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	2026-05-18T02:19:17.657110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3338e7129be3bf4d4ef1a37254ad7c885d3b7bf8368e3f0433d16966d700ef7d

Aliases

arxiv: 1504.01967 · arxiv_version: 1504.01967v1 · doi: 10.48550/arxiv.1504.01967 · pith_short_12: GM4OOEU34O7U · pith_short_16: GM4OOEU34O7U2TXR · pith_short_8: GM4OOEU3

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/GM4OOEU34O7U2TXRUNZFJLL4RB \
  | 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: 3338e7129be3bf4d4ef1a37254ad7c885d3b7bf8368e3f0433d16966d700ef7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5d591244966c189f007f973b1262e556e9fc5a4d2171de054fe26c380cc4b35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-08T13:50:50Z",
    "title_canon_sha256": "de263d4fa98a15b8ffb1bf7fefbba168b1bb50007173f71a1ce04755484534ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01967",
    "kind": "arxiv",
    "version": 1
  }
}