Pith Number

pith:ZCXZYZ5Z

pith:2015:ZCXZYZ5ZAM7TF4CC4RGUHL4MJP

not attested not anchored not stored refs pending

On Linear Recursive Sequences with Coefficients in Arithmetic-Geometric Progressions

Jerico B. Bacani, Julius Fergy T. Rabago

arxiv:1503.05301 v1 · 2015-03-18 · 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{ZCXZYZ5ZAM7TF4CC4RGUHL4MJP}

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	2026-05-18T02:21:50.810009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8af9c67b9033f32f042e44d43af8c4bc791bd06b18ce4b9737f31dfd0c92feb

Aliases

arxiv: 1503.05301 · arxiv_version: 1503.05301v1 · doi: 10.48550/arxiv.1503.05301 · pith_short_12: ZCXZYZ5ZAM7T · pith_short_16: ZCXZYZ5ZAM7TF4CC · pith_short_8: ZCXZYZ5Z

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/ZCXZYZ5ZAM7TF4CC4RGUHL4MJP \
  | 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: c8af9c67b9033f32f042e44d43af8c4bc791bd06b18ce4b9737f31dfd0c92feb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aaf842f4849c62ee8a345c160c67f14ca7f2223d93cd7699c5f0b1d49f38c1a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-18T08:15:14Z",
    "title_canon_sha256": "d8cd113bc7c7dc490f55bf9503d5555cbfd2b3cd717ca753edead8b4115c24bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05301",
    "kind": "arxiv",
    "version": 1
  }
}