Pith Number

pith:Z6TQ6QOS

pith:2016:Z6TQ6QOSA4X3ZSAVNG67HADC7I

not attested not anchored not stored refs pending

Legal Decompositions Arising from Non-positive Linear Recurrences

Dawn Nelson, Minerva Catral, Pamela E. Harris, Pari L. Ford, Steven J. Miller

arxiv:1606.09312 v2 · 2016-06-30 · math.CO · 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{Z6TQ6QOSA4X3ZSAVNG67HADC7I}

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	2026-05-18T01:11:38.213564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfa70f41d2072fbcc81569bdf38062fa1e15face8c98bb709a0d971facee0272

Aliases

arxiv: 1606.09312 · arxiv_version: 1606.09312v2 · doi: 10.48550/arxiv.1606.09312 · pith_short_12: Z6TQ6QOSA4X3 · pith_short_16: Z6TQ6QOSA4X3ZSAV · pith_short_8: Z6TQ6QOS

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/Z6TQ6QOSA4X3ZSAVNG67HADC7I \
  | 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: cfa70f41d2072fbcc81569bdf38062fa1e15face8c98bb709a0d971facee0272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a1a5516da201b20152e7ec5e30cf2451205c1458da741c095acf5f7a7c27e2e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-30T00:06:30Z",
    "title_canon_sha256": "70420b86b1ced324bbfef9f5f4e888339daaaca7c40e707bb4b40e53bb4cbac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09312",
    "kind": "arxiv",
    "version": 2
  }
}