Pith Number

pith:BFHXPRYQ

pith:2021:BFHXPRYQCQOIJ44WFXNVZ4MDS4

not attested not anchored not stored refs pending

Para-linearity as the nonassociative counterpart of linearity

Guangbin Ren, Qinghai Huo

arxiv:2107.08162 v1 · 2021-07-17 · 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{BFHXPRYQCQOIJ44WFXNVZ4MDS4}

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	2026-07-05T02:58:46.095081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

094f77c710141c84f3962ddb5cf183972f35e6b38a53db3dd71f4ff7812cadee

Aliases

arxiv: 2107.08162 · arxiv_version: 2107.08162v1 · doi: 10.48550/arxiv.2107.08162 · pith_short_12: BFHXPRYQCQOI · pith_short_16: BFHXPRYQCQOIJ44W · pith_short_8: BFHXPRYQ

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/BFHXPRYQCQOIJ44WFXNVZ4MDS4 \
  | 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: 094f77c710141c84f3962ddb5cf183972f35e6b38a53db3dd71f4ff7812cadee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19f5b91862337b6e570a49ab07b9af9a0468ff3b30a9936b3f8c3772ccd0509",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-07-17T02:27:35Z",
    "title_canon_sha256": "19351e9d1112770328270507f1cf842975a22ababaa50fd61120e53eca2ca063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.08162",
    "kind": "arxiv",
    "version": 1
  }
}