Pith Number

pith:QOCOHOQL

pith:2015:QOCOHOQLR3ILZO552YCHE7Q6ZS

not attested not anchored not stored refs pending

On Automorphisms of Biproducts

David E. Radford

arxiv:1503.00381 v1 · 2015-03-02 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOCOHOQLR3ILZO552YCHE7Q6ZS}

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	2026-05-18T02:25:54.587861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8384e3ba0b8ed0bcbbbdd604727e1eccb4b020da0cf6a3fcc71c86dd9f54c3ca

Aliases

arxiv: 1503.00381 · arxiv_version: 1503.00381v1 · doi: 10.48550/arxiv.1503.00381 · pith_short_12: QOCOHOQLR3IL · pith_short_16: QOCOHOQLR3ILZO55 · pith_short_8: QOCOHOQL

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/QOCOHOQLR3ILZO552YCHE7Q6ZS \
  | 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: 8384e3ba0b8ed0bcbbbdd604727e1eccb4b020da0cf6a3fcc71c86dd9f54c3ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb07ebbb6c5be32796a9f1b2b97787f854a4f13aaebc6a37a24f2d1ff5ffc81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-03-02T00:44:44Z",
    "title_canon_sha256": "a121afe958284345ff0e9bda9b9bb9faa49cf4c4bb39b94e3e76c946d112d2bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00381",
    "kind": "arxiv",
    "version": 1
  }
}