Pith Number

pith:IUNXCI4A

pith:2010:IUNXCI4ALHOL6CRVHVWPEPPSE2

not attested not anchored not stored refs pending

Cup Coproducts in Hopf Cyclic Cohomology

Masoud Khalkhali, Mohammad Hassanzadeh

arxiv:1011.2735 v2 · 2010-11-11 · 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{IUNXCI4ALHOL6CRVHVWPEPPSE2}

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	2026-05-18T03:05:28.740678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

451b71238059dcbf0a353d6cf23df2268ee7ef90f27f476de1754128c9970f92

Aliases

arxiv: 1011.2735 · arxiv_version: 1011.2735v2 · doi: 10.48550/arxiv.1011.2735 · pith_short_12: IUNXCI4ALHOL · pith_short_16: IUNXCI4ALHOL6CRV · pith_short_8: IUNXCI4A

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/IUNXCI4ALHOL6CRVHVWPEPPSE2 \
  | 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: 451b71238059dcbf0a353d6cf23df2268ee7ef90f27f476de1754128c9970f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10de82d527dba43537c0ea0152a8c4ac1a3b039258e9f25ccea7283aac0dbf79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-11-11T18:47:47Z",
    "title_canon_sha256": "d83011aaa9ff2dcebe970ff542bb3b2bd65e162ed429696452130ca73f7e8ab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2735",
    "kind": "arxiv",
    "version": 2
  }
}