Pith Number

pith:OCHR7ODW

pith:2017:OCHR7ODWFHSRQ42WKXHK5PP6XZ

not attested not anchored not stored refs pending

A Combinatorial Approach to the Opposite Bi-Free Partial $S$-Transform

Paul Skoufranis

arxiv:1705.02857 v1 · 2017-05-08 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCHR7ODWFHSRQ42WKXHK5PP6XZ}

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	2026-05-17T23:54:36.845039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

708f1fb87629e518735655ceaebdfebe4f49511cfd6f120c470878fa1800d7e0

Aliases

arxiv: 1705.02857 · arxiv_version: 1705.02857v1 · doi: 10.48550/arxiv.1705.02857 · pith_short_12: OCHR7ODWFHSR · pith_short_16: OCHR7ODWFHSRQ42W · pith_short_8: OCHR7ODW

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/OCHR7ODWFHSRQ42WKXHK5PP6XZ \
  | 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: 708f1fb87629e518735655ceaebdfebe4f49511cfd6f120c470878fa1800d7e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e678d2b438394dc9e143bc5750e361197b2ba343addb0c0f0ce1c6409d2006",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-05-08T13:12:33Z",
    "title_canon_sha256": "10f786199de0bc30bff610a5265417301c15031ac005528d6ab25ac57a1aa19b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02857",
    "kind": "arxiv",
    "version": 1
  }
}