Pith Number

pith:CZ73VVRM

pith:2015:CZ73VVRM4TFONR7AVNRR4ORNFO

not attested not anchored not stored refs pending

Hopf dense Galois extensions with applications

F. van Oystaeyen, J. He, Y. Zhang

arxiv:1512.07439 v2 · 2015-12-23 · 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{CZ73VVRM4TFONR7AVNRR4ORNFO}

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	2026-05-18T01:21:36.667216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167fbad62ce4cae6c7e0ab631e3a2d2bb55e126807ac1c907a5c5395755803c8

Aliases

arxiv: 1512.07439 · arxiv_version: 1512.07439v2 · doi: 10.48550/arxiv.1512.07439 · pith_short_12: CZ73VVRM4TFO · pith_short_16: CZ73VVRM4TFONR7A · pith_short_8: CZ73VVRM

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/CZ73VVRM4TFONR7AVNRR4ORNFO \
  | 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: 167fbad62ce4cae6c7e0ab631e3a2d2bb55e126807ac1c907a5c5395755803c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13b14160e56aeb43b549ab401ebc348fec217ffeaa5254b2ba4536a2085c9c55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-23T11:38:16Z",
    "title_canon_sha256": "99834a1758455393c48fc7f3fc3f881c2d138b986c4e9689ea2c91c0eece948b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07439",
    "kind": "arxiv",
    "version": 2
  }
}