Pith Number

pith:6IY2T6UJ

pith:2018:6IY2T6UJNOG4KMRUOUUYT7C2NP

not attested not anchored not stored refs pending

Hopf algebras of prime dimension in positive characteristic

Siu-Hung Ng, Xingting Wang

arxiv:1810.00476 v3 · 2018-09-30 · 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{6IY2T6UJNOG4KMRUOUUYT7C2NP}

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	2026-05-17T23:52:05.038688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f231a9fa896b8dc53234752989fc5a6bca487a210575eb0ffef1a7f5bdbe6eb1

Aliases

arxiv: 1810.00476 · arxiv_version: 1810.00476v3 · doi: 10.48550/arxiv.1810.00476 · pith_short_12: 6IY2T6UJNOG4 · pith_short_16: 6IY2T6UJNOG4KMRU · pith_short_8: 6IY2T6UJ

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/6IY2T6UJNOG4KMRUOUUYT7C2NP \
  | 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: f231a9fa896b8dc53234752989fc5a6bca487a210575eb0ffef1a7f5bdbe6eb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15a9f9ef3c81e5e6312ca9cb30acc3f204e2c1b1c6d7701365e5e7517b332a0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-09-30T22:13:10Z",
    "title_canon_sha256": "fc1283ce138dc33a69900c45d767bb0c47c2c87c53a4e62a3dd55fca46b2d0b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00476",
    "kind": "arxiv",
    "version": 3
  }
}