Pith Number

pith:GURGUZFQ

pith:2016:GURGUZFQYTSSI5YLD4ENZOV3KR

not attested not anchored not stored refs pending

Index Divisibility in Dynamical Sequences and Cyclic Orbits Modulo $p$

Annie S. Chen, Katherine E. Stange, T. Alden Gassert

arxiv:1608.02177 v1 · 2016-08-07 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GURGUZFQYTSSI5YLD4ENZOV3KR}

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	2026-05-18T01:09:40.821470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35226a64b0c4e524770b1f08dcbabb54554f42bc8bd0c7dddcfdef2b972ee221

Aliases

arxiv: 1608.02177 · arxiv_version: 1608.02177v1 · doi: 10.48550/arxiv.1608.02177 · pith_short_12: GURGUZFQYTSS · pith_short_16: GURGUZFQYTSSI5YL · pith_short_8: GURGUZFQ

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/GURGUZFQYTSSI5YLD4ENZOV3KR \
  | 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: 35226a64b0c4e524770b1f08dcbabb54554f42bc8bd0c7dddcfdef2b972ee221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a551f3a9cabeffd0ac4fbe017c8c395810d16647555acc7278533e66d79d809",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-07T04:38:34Z",
    "title_canon_sha256": "a4292395ec7c3fd286f867ecfe5c4594955c0cf70d83d8874f662ec157458b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02177",
    "kind": "arxiv",
    "version": 1
  }
}