Pith Number

pith:OQU5HDTP

pith:2015:OQU5HDTPSGULQF7TZIJOGVEYHG

not attested not anchored not stored refs pending

Cyclic homology of cleft extensions of algebras

Christian Valqui, Jorge A. Guccione, Juan J. Guccione

arxiv:1507.01641 v1 · 2015-07-06 · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OQU5HDTPSGULQF7TZIJOGVEYHG}

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	2026-05-18T01:37:12.811846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7429d38e6f91a8b817f3ca12e3549839bbb852b284d2103b0accd7fe4e5961fc

Aliases

arxiv: 1507.01641 · arxiv_version: 1507.01641v1 · doi: 10.48550/arxiv.1507.01641 · pith_short_12: OQU5HDTPSGUL · pith_short_16: OQU5HDTPSGULQF7T · pith_short_8: OQU5HDTP

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/OQU5HDTPSGULQF7TZIJOGVEYHG \
  | 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: 7429d38e6f91a8b817f3ca12e3549839bbb852b284d2103b0accd7fe4e5961fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff62ede3b192f6cfbc135db2f9b894fd21cf497e7f12725bb72ba107fb3d886b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-07-06T22:44:14Z",
    "title_canon_sha256": "8ff38b25555b0bc809c5dfd8c5925ce51ce4311adf7d26fe5ed3cbc96ae113c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01641",
    "kind": "arxiv",
    "version": 1
  }
}