Pith Number

pith:WRRBIQQR

pith:2017:WRRBIQQRKHYGMQTFRPTLVDNVIX

not attested not anchored not stored refs pending

Periodicity and integrability for the cube recurrence

Pavel Galashin

arxiv:1704.05570 v1 · 2017-04-19 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRRBIQQRKHYGMQTFRPTLVDNVIX}

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	2026-05-18T00:46:07.101617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46214421151f06642658be6ba8db545d7f52469fe782d78303eab81b9685ee0

Aliases

arxiv: 1704.05570 · arxiv_version: 1704.05570v1 · doi: 10.48550/arxiv.1704.05570 · pith_short_12: WRRBIQQRKHYG · pith_short_16: WRRBIQQRKHYGMQTF · pith_short_8: WRRBIQQR

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/WRRBIQQRKHYGMQTFRPTLVDNVIX \
  | 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: b46214421151f06642658be6ba8db545d7f52469fe782d78303eab81b9685ee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d45b27d18cf9878eb0c53b43963bbd9ec9b3b7ef41368e0eeb7bec65323ae79",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-19T00:55:11Z",
    "title_canon_sha256": "62e157bf81557a015f7248532b2447162ba3b910f169147f4a337a66af636870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05570",
    "kind": "arxiv",
    "version": 1
  }
}