Pith Number

pith:ORE7HE7R

pith:2014:ORE7HE7RATKW7XBS6E3QYZPHD4

not attested not anchored not stored refs pending

Homotopic Hopf-Galois extensions revisited

Alexander Berglund, Kathryn Hess

arxiv:1412.7072 v2 · 2014-12-22 · math.AT · math.CT · 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{ORE7HE7RATKW7XBS6E3QYZPHD4}

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	2026-05-18T01:23:29.538398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7449f393f104d56fdc32f1370c65e71f09a5aea156d13397abaf4785c9a35aca

Aliases

arxiv: 1412.7072 · arxiv_version: 1412.7072v2 · doi: 10.48550/arxiv.1412.7072 · pith_short_12: ORE7HE7RATKW · pith_short_16: ORE7HE7RATKW7XBS · pith_short_8: ORE7HE7R

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/ORE7HE7RATKW7XBS6E3QYZPHD4 \
  | 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: 7449f393f104d56fdc32f1370c65e71f09a5aea156d13397abaf4785c9a35aca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5bdeb0f202b21b8a576a4380fa90e2bc20ae71c5d1820bed8469d8fde0490f",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-12-22T17:55:30Z",
    "title_canon_sha256": "902b23a4e6de9633650c580da0a2aba2cf40abf57b462556b625f8ec2d27d76b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7072",
    "kind": "arxiv",
    "version": 2
  }
}