Pith Number

pith:5A4UOMWI

pith:2014:5A4UOMWILOT4DR47E2JSSLP5CA

not attested not anchored not stored refs pending

Cyclic polynomials in two variables

Alan Sola, Catherine B\'en\'eteau, Constanze Liaw, Daniel Seco, Greg Knese, {\L}ukasz Kosi\'nski

arxiv:1408.3616 v1 · 2014-08-15 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5A4UOMWILOT4DR47E2JSSLP5CA}

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	2026-05-18T01:02:59.558674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8394732c85ba7c1c79f2693292dfd102ffc0dea743b4a330cba1dab2a560c91

Aliases

arxiv: 1408.3616 · arxiv_version: 1408.3616v1 · doi: 10.48550/arxiv.1408.3616 · pith_short_12: 5A4UOMWILOT4 · pith_short_16: 5A4UOMWILOT4DR47 · pith_short_8: 5A4UOMWI

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/5A4UOMWILOT4DR47E2JSSLP5CA \
  | 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: e8394732c85ba7c1c79f2693292dfd102ffc0dea743b4a330cba1dab2a560c91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341cd6a7eee23e19247be64f537dd2a78c0676e7ad33dbc0d759337f70336980",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-15T19:40:02Z",
    "title_canon_sha256": "1021b6789d6b95bb1dce6c5d26fc9c692b9865f021d0f6aab2386b1fd250c8d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3616",
    "kind": "arxiv",
    "version": 1
  }
}