Pith Number

pith:DTLM2KLE

pith:2016:DTLM2KLE3GUSZ63JVK7644ZKUB

not attested not anchored not stored refs pending

New Behavior in Legal Decompositions Arising from Non-positive Linear Recurrences

Dawn Nelson, Huanzhong Xu, Minerva Catral, Pamela E. Harris, Pari L. Ford, Steven J. Miller, Zhao Pan

arxiv:1606.09309 v2 · 2016-06-29 · math.CO · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTLM2KLE3GUSZ63JVK7644ZKUB}

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	2026-05-18T01:11:38.219158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd6cd2964d9a92cfb69aabfee732aa05055b951d57ac10b2de7b904edbcf4bf

Aliases

arxiv: 1606.09309 · arxiv_version: 1606.09309v2 · doi: 10.48550/arxiv.1606.09309 · pith_short_12: DTLM2KLE3GUS · pith_short_16: DTLM2KLE3GUSZ63J · pith_short_8: DTLM2KLE

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/DTLM2KLE3GUSZ63JVK7644ZKUB \
  | 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: 1cd6cd2964d9a92cfb69aabfee732aa05055b951d57ac10b2de7b904edbcf4bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "331cf0b1e523fdd80aa375e40b5a8d702a5b254c6a4d682c27424c735fc571f9",
    "cross_cats_sorted": [
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-29T23:51:05Z",
    "title_canon_sha256": "01885b53f256d6809eb7288230b9f1ddd5b71d7a5022d07f946d77205948ad59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09309",
    "kind": "arxiv",
    "version": 2
  }
}