Pith Number

pith:5X5GOKEM

pith:2011:5X5GOKEMLDNPMGSBWEQJUSTD63

not attested not anchored not stored refs pending

Less Regular Exceptional and Repeating Prime Number Multiplets

H. J. Weber

arxiv:1105.4092 v1 · 2011-05-20 · 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{5X5GOKEMLDNPMGSBWEQJUSTD63}

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	2026-05-18T04:21:42.970370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edfa67288c58daf61a41b1209a4a63f6cc4a107a40c55287130da66269067c05

Aliases

arxiv: 1105.4092 · arxiv_version: 1105.4092v1 · doi: 10.48550/arxiv.1105.4092 · pith_short_12: 5X5GOKEMLDNP · pith_short_16: 5X5GOKEMLDNPMGSB · pith_short_8: 5X5GOKEM

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/5X5GOKEMLDNPMGSBWEQJUSTD63 \
  | 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: edfa67288c58daf61a41b1209a4a63f6cc4a107a40c55287130da66269067c05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0828b65a08811cf89bdf3044948edc55fa0bbe7a61982ae957b74989d4a78be1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-20T13:51:57Z",
    "title_canon_sha256": "ee85869684ac14956cba327c08e45a5ae7b7b71bd9d6c7d40e6c989f4a731aa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4092",
    "kind": "arxiv",
    "version": 1
  }
}