Pith Number

pith:WTSA4SXX

pith:2022:WTSA4SXXLOWZ7OTU2RURRJX3O3

not attested not anchored not stored refs pending

On the mean square gap between primes

Julia Stadlmann

arxiv:2212.10867 v1 · 2022-12-21 · 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{WTSA4SXXLOWZ7OTU2RURRJX3O3}

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.

Cited by

1 paper in Pith

Gaps in Multiplicative Sidon Sets II

Receipt and verification

First computed	2026-07-05T05:27:23.792239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e40e4af75bad9fba74d46918a6fb76da44eb1b78a3912e129dd97b85bf3fd9

Aliases

arxiv: 2212.10867 · arxiv_version: 2212.10867v1 · doi: 10.48550/arxiv.2212.10867 · pith_short_12: WTSA4SXXLOWZ · pith_short_16: WTSA4SXXLOWZ7OTU · pith_short_8: WTSA4SXX

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/WTSA4SXXLOWZ7OTU2RURRJX3O3 \
  | 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: b4e40e4af75bad9fba74d46918a6fb76da44eb1b78a3912e129dd97b85bf3fd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d571cc9975225cec7c9e8e392d201e035d026a54a4d1279c8c6cffbd2feb27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-12-21T09:22:14Z",
    "title_canon_sha256": "7a0985be73dae6c4294a61157e027e37f11014e378f3e2026bce3b40e443fefa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10867",
    "kind": "arxiv",
    "version": 1
  }
}