Pith Number

pith:QEZHWSF6

pith:2012:QEZHWSF6O7IIQEA2F2LVMJNI3A

not attested not anchored not stored refs pending

Highly biased prime number races

Daniel Fiorilli

arxiv:1210.6946 v2 · 2012-10-25 · 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{QEZHWSF6O7IIQEA2F2LVMJNI3A}

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	2026-05-18T01:22:26.121540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81327b48be77d088101a2e975625a8d8095f48b1b57bd8857029d2c70b8768f5

Aliases

arxiv: 1210.6946 · arxiv_version: 1210.6946v2 · doi: 10.48550/arxiv.1210.6946 · pith_short_12: QEZHWSF6O7II · pith_short_16: QEZHWSF6O7IIQEA2 · pith_short_8: QEZHWSF6

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/QEZHWSF6O7IIQEA2F2LVMJNI3A \
  | 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: 81327b48be77d088101a2e975625a8d8095f48b1b57bd8857029d2c70b8768f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e323dafedcb608b3aceae17d8270b908debfe0f3d55fab5ef3d496da9e53bf64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-25T19:04:23Z",
    "title_canon_sha256": "68e78eb11bcb2bd43925201b131abc0c4e41bdc3febbe11e9fc49d568b0ff837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6946",
    "kind": "arxiv",
    "version": 2
  }
}