Pith Number

pith:IB53FVZV

pith:2020:IB53FVZVIYCKTUPFUKJRHXPL5A

not attested not anchored not stored refs pending

An Introduction to Completeness of Positive Linear Recurrence Sequences

El\.zbieta Bo{\l}dyriew, Fernando Trejos Su\'arez, John Haviland, John Lentfer, Ph\'uc L\^am, Steven J. Miller

arxiv:2010.04071 v1 · 2020-10-07 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IB53FVZVIYCKTUPFUKJRHXPL5A}

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	2026-07-05T01:41:26.659976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

407bb2d7354604a9d1e5a29313ddebe8127f58b78a3cd3f8ac02887bfad1be48

Aliases

arxiv: 2010.04071 · arxiv_version: 2010.04071v1 · doi: 10.48550/arxiv.2010.04071 · pith_short_12: IB53FVZVIYCK · pith_short_16: IB53FVZVIYCKTUPF · pith_short_8: IB53FVZV

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/IB53FVZVIYCKTUPFUKJRHXPL5A \
  | 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: 407bb2d7354604a9d1e5a29313ddebe8127f58b78a3cd3f8ac02887bfad1be48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d679cd0b1312dda4fb9056acb305bed7f09b2bfef4c349844aba5dc4d7e9cce3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-07T14:36:58Z",
    "title_canon_sha256": "fcddb65666cce0fa0640160bc83ea94f0d52998abfd244ac819101aad4529a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.04071",
    "kind": "arxiv",
    "version": 1
  }
}