Pith Number

pith:IBTZZ6KC

pith:2015:IBTZZ6KC74JJTXGTZDUNKPOB52

not attested not anchored not stored refs pending

Linear recurrence sequences with indices in arithmetic progression and their sums

Daniel Birmajer, Juan B. Gil, Michael D. Weiner

arxiv:1505.06339 v2 · 2015-05-23 · 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{IBTZZ6KC74JJTXGTZDUNKPOB52}

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	2026-05-18T00:56:31.780539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40679cf942ff1299dcd3c8e8d53dc1ee8d2b6ebb7f7c2fdae3d06462c843223a

Aliases

arxiv: 1505.06339 · arxiv_version: 1505.06339v2 · doi: 10.48550/arxiv.1505.06339 · pith_short_12: IBTZZ6KC74JJ · pith_short_16: IBTZZ6KC74JJTXGT · pith_short_8: IBTZZ6KC

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/IBTZZ6KC74JJTXGTZDUNKPOB52 \
  | 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: 40679cf942ff1299dcd3c8e8d53dc1ee8d2b6ebb7f7c2fdae3d06462c843223a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab2c4f71d701a95c9b82aa5197e1914c475298b996726722918fdfe6a92b695",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-23T14:33:46Z",
    "title_canon_sha256": "4ac80bdc020613781d7a39007164952722d160d60d5c93e960604b10a5b09b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06339",
    "kind": "arxiv",
    "version": 2
  }
}