Pith Number

pith:ZIFPPQXR

pith:2021:ZIFPPQXRX7ZSVQ4CGAKATDFKVG

not attested not anchored not stored refs pending

Extending structures for Lie bialgebras

Yanyong Hong

arxiv:2108.05586 v1 · 2021-08-12 · 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{ZIFPPQXRX7ZSVQ4CGAKATDFKVG}

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	2026-07-05T03:05:15.918906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca0af7c2f1bff32ac3823014098caaa994c7b1389be5fa14a67249b9de0bc6aa

Aliases

arxiv: 2108.05586 · arxiv_version: 2108.05586v1 · doi: 10.48550/arxiv.2108.05586 · pith_short_12: ZIFPPQXRX7ZS · pith_short_16: ZIFPPQXRX7ZSVQ4C · pith_short_8: ZIFPPQXR

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/ZIFPPQXRX7ZSVQ4CGAKATDFKVG \
  | 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: ca0af7c2f1bff32ac3823014098caaa994c7b1389be5fa14a67249b9de0bc6aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0721428048e7f44212bcbd49cd878f9e268b24cacaed6007810033b751a80475",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2021-08-12T08:07:30Z",
    "title_canon_sha256": "4a6bbe8d89535fbde8d2546376b0e9d29faa6a6459b982f3f8ad426923a60518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.05586",
    "kind": "arxiv",
    "version": 1
  }
}