Pith Number

pith:OABZEHFF

pith:2012:OABZEHFFB4KNWGN4MEFYQ7H5FX

not attested not anchored not stored refs pending

Why should one expect to find long runs of (non)-Ramanujan primes ?

Peter Hegarty

arxiv:1201.3847 v1 · 2012-01-18 · 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{OABZEHFFB4KNWGN4MEFYQ7H5FX}

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	2026-05-18T04:04:17.811219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7003921ca50f14db19bc610b887cfd2ddcdf59c2e53a3d556fd4d26443d0132b

Aliases

arxiv: 1201.3847 · arxiv_version: 1201.3847v1 · doi: 10.48550/arxiv.1201.3847 · pith_short_12: OABZEHFFB4KN · pith_short_16: OABZEHFFB4KNWGN4 · pith_short_8: OABZEHFF

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/OABZEHFFB4KNWGN4MEFYQ7H5FX \
  | 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: 7003921ca50f14db19bc610b887cfd2ddcdf59c2e53a3d556fd4d26443d0132b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "181c7506751d0dec3c5f022ca0ec9c1fb3db269e89ce2d24c6e3812bab4ef7eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-18T16:54:05Z",
    "title_canon_sha256": "589e8ee81ab8f896c47aa3b6505bc8311b7f5aba1bf5c340584e76727972fb1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3847",
    "kind": "arxiv",
    "version": 1
  }
}