Pith Number

pith:LKICNIB4

pith:2024:LKICNIB4Y6DTAZ3E4BLVU3JROH

not attested not anchored not stored refs pending

Conditional representation stability, classification of $*$-homomorphisms, and relative eta invariants

Rufus Willett

arxiv:2408.13350 v3 · 2024-08-23 · math.GR · math.KT · 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{LKICNIB4Y6DTAZ3E4BLVU3JROH}

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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.

Cited by

2 papers in Pith

A secondary pairing between K-theory and K-homology, relative eta invariants, and zeta maps

The Local Lifting Property, Property FD, and stability of approximate representations

Receipt and verification

First computed	2026-05-25T02:01:01.359044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a9026a03cc787306764e0575a6d3171e0129c972e2e7f0792052107852c2091

Aliases

arxiv: 2408.13350 · arxiv_version: 2408.13350v3 · doi: 10.48550/arxiv.2408.13350 · pith_short_12: LKICNIB4Y6DT · pith_short_16: LKICNIB4Y6DTAZ3E · pith_short_8: LKICNIB4

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/LKICNIB4Y6DTAZ3E4BLVU3JROH \
  | 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: 5a9026a03cc787306764e0575a6d3171e0129c972e2e7f0792052107852c2091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a28655235249f1f13b67cb008318e240b6e2f4c84cab2c12d92789853d6b001",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-08-23T19:52:23Z",
    "title_canon_sha256": "aa1d8edde0ca9baa0ab5f29eda870a309f3ffd8fda94254418b969761c5190fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.13350",
    "kind": "arxiv",
    "version": 3
  }
}