Pith Number

pith:HI2BR4K6

pith:2018:HI2BR4K6J3DW7NTJVZWB7ZFWDW

not attested not anchored not stored refs pending

The Cram\'er conjecture holds with a positive probability

Naser T. Sardari

arxiv:1802.08524 v1 · 2018-02-23 · 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{HI2BR4K6J3DW7NTJVZWB7ZFWDW}

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	2026-05-18T00:22:41.291886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a3418f15e4ec76fb669ae6c1fe4b61db7ff64338ae939c99395c401d120f05a

Aliases

arxiv: 1802.08524 · arxiv_version: 1802.08524v1 · doi: 10.48550/arxiv.1802.08524 · pith_short_12: HI2BR4K6J3DW · pith_short_16: HI2BR4K6J3DW7NTJ · pith_short_8: HI2BR4K6

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/HI2BR4K6J3DW7NTJVZWB7ZFWDW \
  | 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: 3a3418f15e4ec76fb669ae6c1fe4b61db7ff64338ae939c99395c401d120f05a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8a035b787f18276ea022580d8f955b64916086c17a22c3625d235dae237441a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-23T13:39:23Z",
    "title_canon_sha256": "6d9743004bef2cbd069716c189702b1b7538bb549f836d75fc07873ee682a946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08524",
    "kind": "arxiv",
    "version": 1
  }
}