Pith Number

pith:DD7EMWRI

pith:2017:DD7EMWRIIJCRJYB5UUFBZYIEP4

not attested not anchored not stored refs pending

A note on the bijectivity of antipode of a Hopf algebra and its applications

Jiafeng Lv, Sei-Qwon Oh, Xiaolan Yu, Xingting Wang

arxiv:1704.05731 v2 · 2017-04-19 · 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{DD7EMWRIIJCRJYB5UUFBZYIEP4}

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	2026-05-17T23:52:30.191658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18fe465a28424514e03da50a1ce1047f15483e893cc4bf6e316ad7a02cb3e22d

Aliases

arxiv: 1704.05731 · arxiv_version: 1704.05731v2 · doi: 10.48550/arxiv.1704.05731 · pith_short_12: DD7EMWRIIJCR · pith_short_16: DD7EMWRIIJCRJYB5 · pith_short_8: DD7EMWRI

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/DD7EMWRIIJCRJYB5UUFBZYIEP4 \
  | 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: 18fe465a28424514e03da50a1ce1047f15483e893cc4bf6e316ad7a02cb3e22d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3667200a2d3d71fc0aad1292150ec8d566bc65ee6c363cf26810178298ba751",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-04-19T13:43:04Z",
    "title_canon_sha256": "eadb511b3134f215de9e0e75a3a4b49920ca05164373a314c36ec852d575317b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05731",
    "kind": "arxiv",
    "version": 2
  }
}