Pith Number

pith:S2HVHL6Q

pith:2012:S2HVHL6QMKNVCY2OF33ESPZT6N

not attested not anchored not stored refs pending

On the mod-Gaussian convergence of a sum over primes

Martin Wahl

arxiv:1201.5295 v3 · 2012-01-25 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2HVHL6QMKNVCY2OF33ESPZT6N}

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	2026-05-18T03:05:55.164305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

968f53afd0629b51634e2ef6493f33f343f816d7996c2b060443e377804acb30

Aliases

arxiv: 1201.5295 · arxiv_version: 1201.5295v3 · doi: 10.48550/arxiv.1201.5295 · pith_short_12: S2HVHL6QMKNV · pith_short_16: S2HVHL6QMKNVCY2O · pith_short_8: S2HVHL6Q

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/S2HVHL6QMKNVCY2OF33ESPZT6N \
  | 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: 968f53afd0629b51634e2ef6493f33f343f816d7996c2b060443e377804acb30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c39274bdff71aa5888b882e6e5e333cbf216a74d171815f798a3077bd51959",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-25T15:15:30Z",
    "title_canon_sha256": "d7dbea6b0b05eb3ea263531c594812a5e5ccfcc4d0f982e9f2a9853e54a2397e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5295",
    "kind": "arxiv",
    "version": 3
  }
}