Pith Number

pith:7U7OM5AG

pith:2023:7U7OM5AG3TPGACWSE3SAS3GODR

not attested not anchored not stored refs pending

Extending structures for perm algebras and perm bialgebras

Bo Hou

arxiv:2309.04913 v1 · 2023-09-10 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7U7OM5AG3TPGACWSE3SAS3GODR}

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	2026-07-05T06:49:28.654373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd3ee67406dcde600ad226e4096cce1c784ff00041f22e2d7a5207d567282b64

Aliases

arxiv: 2309.04913 · arxiv_version: 2309.04913v1 · doi: 10.48550/arxiv.2309.04913 · pith_short_12: 7U7OM5AG3TPG · pith_short_16: 7U7OM5AG3TPGACWS · pith_short_8: 7U7OM5AG

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/7U7OM5AG3TPGACWSE3SAS3GODR \
  | 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: fd3ee67406dcde600ad226e4096cce1c784ff00041f22e2d7a5207d567282b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcd4a445e8a8146b65b7d6f75107ac333d5cc9e5f5240641d249f69f9cb228c1",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2023-09-10T02:00:20Z",
    "title_canon_sha256": "f979d826886568d990d5b4b472c28e76b53fb32c3eec689ab110251515649631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.04913",
    "kind": "arxiv",
    "version": 1
  }
}