pith. sign in
Pith Number

pith:5DFQ3BRY

pith:2014:5DFQ3BRY4E352JSBCUOL7N4QDI
not attested not anchored not stored refs pending

Slice regular composition operators

G. B. Ren, X. P. Wang

arxiv:1410.4301 v1 · 2014-10-16 · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5DFQ3BRY4E352JSBCUOL7N4QDI}

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 2026-05-18T02:39:56.479641Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e8cb0d8638e137dd2641151cbfb7901a3b536ff47a6ca319bfd05b4fef2fa2cd

Aliases

arxiv: 1410.4301 · arxiv_version: 1410.4301v1 · doi: 10.48550/arxiv.1410.4301 · pith_short_12: 5DFQ3BRY4E35 · pith_short_16: 5DFQ3BRY4E352JSB · pith_short_8: 5DFQ3BRY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5DFQ3BRY4E352JSBCUOL7N4QDI \
  | 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: e8cb0d8638e137dd2641151cbfb7901a3b536ff47a6ca319bfd05b4fef2fa2cd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ae39e8b6237d883abd9af23f7108c62103a843967fac8bb6e8e4460502e95a3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-10-16T05:45:35Z",
    "title_canon_sha256": "9b9508c351e5d57ff8c06d95d5425acd4bf8fb11d619a451c5f42ad018883894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4301",
    "kind": "arxiv",
    "version": 1
  }
}