Pith Number

pith:XX2TVLEZ

pith:2019:XX2TVLEZUAXU3ABGPHQFF4U2MZ

not attested not anchored not stored refs pending

Construction of Hopf algebroids

Youichi Shibukawa (Hokkaido University), Yudai Otsuto (Hokkaido University)

arxiv:1908.09643 v1 · 2019-08-21 · 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{XX2TVLEZUAXU3ABGPHQFF4U2MZ}

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	2026-07-04T23:59:42.311811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdf53aac99a02f4d802679e052f29a6653fd880e3eb2a3a00fb8aecfb442dd5b

Aliases

arxiv: 1908.09643 · arxiv_version: 1908.09643v1 · doi: 10.48550/arxiv.1908.09643 · pith_short_12: XX2TVLEZUAXU · pith_short_16: XX2TVLEZUAXU3ABG · pith_short_8: XX2TVLEZ

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/XX2TVLEZUAXU3ABGPHQFF4U2MZ \
  | 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: bdf53aac99a02f4d802679e052f29a6653fd880e3eb2a3a00fb8aecfb442dd5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8496ec3f52f0a75705ec90f49271a6c8c0134d4651071ff8ce25c558392497",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-21T05:54:07Z",
    "title_canon_sha256": "a8ead6419e9143618d706e1f7203045edf204acc8e72839c38b923505c9bfd0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09643",
    "kind": "arxiv",
    "version": 1
  }
}