Pith Number

pith:EK6GWQJF

pith:2011:EK6GWQJFPVVLETBMDFFFEJDWLZ

not attested not anchored not stored refs pending

The resolvent cocycle in twisted cyclic cohomology and a local index formula for the Podles sphere

Adam Rennie, Roger Senior

arxiv:1111.5862 v1 · 2011-11-24 · math.KT · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EK6GWQJFPVVLETBMDFFFEJDWLZ}

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	2026-05-18T04:07:42.117397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22bc6b41257d6ab24c2c194a5224765e4af5dfeb4441840cc7328ef68422c0fa

Aliases

arxiv: 1111.5862 · arxiv_version: 1111.5862v1 · doi: 10.48550/arxiv.1111.5862 · pith_short_12: EK6GWQJFPVVL · pith_short_16: EK6GWQJFPVVLETBM · pith_short_8: EK6GWQJF

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/EK6GWQJFPVVLETBMDFFFEJDWLZ \
  | 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: 22bc6b41257d6ab24c2c194a5224765e4af5dfeb4441840cc7328ef68422c0fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd2a13ed48f06be0ab1e821fdf0fc3f5d4c5ac67e30611778392cacb9532cd75",
    "cross_cats_sorted": [
      "math.OA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-11-24T22:04:59Z",
    "title_canon_sha256": "edd74d9ec0826928e399344edd919e85f0cbb74accdd63d2e63f59de6189c5bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5862",
    "kind": "arxiv",
    "version": 1
  }
}