Pith Number

pith:377EDMPC

pith:2015:377EDMPCTWTAH32GESNVHF5C67

not attested not anchored not stored refs pending

Hopf-Galois objects of Calabi-Yau Hopf algebras

Xiaolan Yu

arxiv:1511.08860 v1 · 2015-11-28 · 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{377EDMPCTWTAH32GESNVHF5C67}

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	2026-05-18T01:25:46.258034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dffe41b1e29da603ef46249b5397a2f7e497656f959dc07fb557a601339985f8

Aliases

arxiv: 1511.08860 · arxiv_version: 1511.08860v1 · doi: 10.48550/arxiv.1511.08860 · pith_short_12: 377EDMPCTWTA · pith_short_16: 377EDMPCTWTAH32G · pith_short_8: 377EDMPC

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/377EDMPCTWTAH32GESNVHF5C67 \
  | 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: dffe41b1e29da603ef46249b5397a2f7e497656f959dc07fb557a601339985f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9016c8ee85327999c9cff2b65dad90db1023c7581a15183e70b5b6314f3eb00c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-11-28T01:34:32Z",
    "title_canon_sha256": "c76361cf529d4718731a4f3cc23b509e7144c6c90a4f999410deb03a78857216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08860",
    "kind": "arxiv",
    "version": 1
  }
}