Pith Number

pith:GL537GTS

pith:2021:GL537GTSRYYP2NEYVIEGYRYUU7

not attested not anchored not stored refs pending

Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology

Abhishek Banerjee, Mamta Balodi

arxiv:2105.11736 v1 · 2021-05-25 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GL537GTSRYYP2NEYVIEGYRYUU7}

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	2026-07-05T02:42:56.059831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32fbbf9a728e30fd3498aa086c4714a7ef66551b89262dd9f40bf35cbd2eb62d

Aliases

arxiv: 2105.11736 · arxiv_version: 2105.11736v1 · doi: 10.48550/arxiv.2105.11736 · pith_short_12: GL537GTSRYYP · pith_short_16: GL537GTSRYYP2NEY · pith_short_8: GL537GTS

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/GL537GTSRYYP2NEYVIEGYRYUU7 \
  | 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: 32fbbf9a728e30fd3498aa086c4714a7ef66551b89262dd9f40bf35cbd2eb62d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9695e13d270a87d0c7f9642c2bf743d6bad0f1b2d6f990e13e09a470645c6a42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-05-25T07:59:44Z",
    "title_canon_sha256": "23335d29065933ab380195a5fe9f81ad6d744eafad0ef34b69f5db1c2b7625f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.11736",
    "kind": "arxiv",
    "version": 1
  }
}