Pith Number

pith:7L2BO62C

pith:2018:7L2BO62C646DKUIMU5KDDAOUN5

not attested not anchored not stored refs pending

Repdigits as products of consecutive balancing or Lucas-balancing numbers

Gopal Krishna Panda, Sai Gopal Rayaguru

arxiv:1812.11963 v1 · 2018-12-28 · 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{7L2BO62C646DKUIMU5KDDAOUN5}

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	2026-05-17T23:57:10.683589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faf4177b42f73c35510ca7543181d46f6960ca23aa5797ea4ca5ed5d066126fe

Aliases

arxiv: 1812.11963 · arxiv_version: 1812.11963v1 · doi: 10.48550/arxiv.1812.11963 · pith_short_12: 7L2BO62C646D · pith_short_16: 7L2BO62C646DKUIM · pith_short_8: 7L2BO62C

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/7L2BO62C646DKUIMU5KDDAOUN5 \
  | 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: faf4177b42f73c35510ca7543181d46f6960ca23aa5797ea4ca5ed5d066126fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6f3f520646d995118ca3620e95d4568cfa3ae3839c25155dccd630ed51fef86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-28T12:44:44Z",
    "title_canon_sha256": "df4617b5afb3fa3e980cc1bf890f16202085272e44fa12ae49eb5d4cf63c854e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11963",
    "kind": "arxiv",
    "version": 1
  }
}