Pith Number

pith:S5X7UOCJ

pith:2015:S5X7UOCJFL2BER3ZFKVTEK5GEM

not attested not anchored not stored refs pending

Factorisation of equivariant spectral triples in unbounded KK-theory

Adam Rennie, Iain Forsyth

arxiv:1505.02863 v1 · 2015-05-12 · math.KT · math.DG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5X7UOCJFL2BER3ZFKVTEK5GEM}

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	2026-05-18T02:14:15.766976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

976ffa38492af41247792aab322ba623340e70a355e87802e03e3bab02b9263e

Aliases

arxiv: 1505.02863 · arxiv_version: 1505.02863v1 · doi: 10.48550/arxiv.1505.02863 · pith_short_12: S5X7UOCJFL2B · pith_short_16: S5X7UOCJFL2BER3Z · pith_short_8: S5X7UOCJ

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/S5X7UOCJFL2BER3ZFKVTEK5GEM \
  | 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: 976ffa38492af41247792aab322ba623340e70a355e87802e03e3bab02b9263e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c7bdee39ca07e3e62d827ec85ef521f6a0ff582e31f38e44b6270fd86a6e5cd",
    "cross_cats_sorted": [
      "math.DG",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-05-12T03:08:17Z",
    "title_canon_sha256": "dbd4130feccd3bc36ad21504f24b7ac05109b947e7d3ed3d832d953287d64a52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02863",
    "kind": "arxiv",
    "version": 1
  }
}