Pith Number

pith:2AMSW2DR

pith:2013:2AMSW2DR43HR2BTFBF2ZZTBC3I

not attested not anchored not stored refs pending

The Gelfond-Schnirelman method in prime number theory

Igor E. Pritsker

arxiv:1307.5361 v1 · 2013-07-20 · 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{2AMSW2DR43HR2BTFBF2ZZTBC3I}

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	2026-05-18T03:17:56.004491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0192b6871e6cf1d066509759ccc22da1c48c22ad1bdb6b7ccbde3cd8032e9ba

Aliases

arxiv: 1307.5361 · arxiv_version: 1307.5361v1 · doi: 10.48550/arxiv.1307.5361 · pith_short_12: 2AMSW2DR43HR · pith_short_16: 2AMSW2DR43HR2BTF · pith_short_8: 2AMSW2DR

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/2AMSW2DR43HR2BTFBF2ZZTBC3I \
  | 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: d0192b6871e6cf1d066509759ccc22da1c48c22ad1bdb6b7ccbde3cd8032e9ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db938302b5ee98b7ef5403f38800e806a848b0d5800f15c5d8e5bed0f0359c86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-20T01:40:31Z",
    "title_canon_sha256": "fab34421b804babaf5578bb78e56497775ad195c79f34a2f0398d6b6b9bd13a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5361",
    "kind": "arxiv",
    "version": 1
  }
}