Pith Number

pith:TJVGTZ66

pith:2015:TJVGTZ66RBMXXNIODFE77TBWKA

not attested not anchored not stored refs pending

The periodic cyclic homology of crossed products of finite type algebras

Jacek Brodzki, Shantanu Dave, Victor Nistor

arxiv:1509.03662 v3 · 2015-09-11 · 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{TJVGTZ66RBMXXNIODFE77TBWKA}

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	2026-05-18T01:19:29.607834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a6a69e7de88597bb50e1949ffcc36500ca19826e741d5dd4aadf50cda733740

Aliases

arxiv: 1509.03662 · arxiv_version: 1509.03662v3 · doi: 10.48550/arxiv.1509.03662 · pith_short_12: TJVGTZ66RBMX · pith_short_16: TJVGTZ66RBMXXNIO · pith_short_8: TJVGTZ66

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/TJVGTZ66RBMXXNIODFE77TBWKA \
  | 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: 9a6a69e7de88597bb50e1949ffcc36500ca19826e741d5dd4aadf50cda733740

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60a2877839a7f160a6c0c54e2916a57f5c6730d486b918b394c292005edc779",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-09-11T20:53:46Z",
    "title_canon_sha256": "d1540e07e68707d2aabda104b20c126a6250f7e91180b8233b98d97db544c9af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03662",
    "kind": "arxiv",
    "version": 3
  }
}