Pith Number

pith:NSAQJAFT

pith:2019:NSAQJAFTGGZ6VWDGKMJHCL7EMG

not attested not anchored not stored refs pending

On the period mod $m$ of polynomially-recursive sequences: a case study

Cyril Banderier, Florian Luca

arxiv:1903.01986 v2 · 2019-03-05 · math.NT · 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{NSAQJAFTGGZ6VWDGKMJHCL7EMG}

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	2026-05-17T23:51:55.618170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c810480b331b3ead8665312712fe46191974a8f4b20e15728d703034475a828

Aliases

arxiv: 1903.01986 · arxiv_version: 1903.01986v2 · doi: 10.48550/arxiv.1903.01986 · pith_short_12: NSAQJAFTGGZ6 · pith_short_16: NSAQJAFTGGZ6VWDG · pith_short_8: NSAQJAFT

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/NSAQJAFTGGZ6VWDGKMJHCL7EMG \
  | 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: 6c810480b331b3ead8665312712fe46191974a8f4b20e15728d703034475a828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a72ad3eedd66b83ddb153d8c266955ffd0bc8215171811fd9a158f7b72814155",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-05T18:56:43Z",
    "title_canon_sha256": "dfa877572e255ecf1dd3ec3176cb4b35dbf884b07916b3de7668c6b60ff9e9e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01986",
    "kind": "arxiv",
    "version": 2
  }
}