Pith Number

pith:Z3PQLLEI

pith:2025:Z3PQLLEIZ52H4K3OTRLW6NFUGB

not attested not anchored not stored refs pending

On higher real $K$-theories and finite spectra

Christian Carrick, Michael A. Hill

arxiv:2507.07051 v1 · 2025-07-09 · math.KT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3PQLLEIZ52H4K3OTRLW6NFUGB}

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.

Cited by

1 paper in Pith

Structured Quotients in Real Homotopy Theory

Receipt and verification

First computed	2026-07-05T11:34:28.291012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cedf05ac88cf747e2b6e9c576f34b43046b833fa78d73df7f36dd32f842c9553

Aliases

arxiv: 2507.07051 · arxiv_version: 2507.07051v1 · doi: 10.48550/arxiv.2507.07051 · pith_short_12: Z3PQLLEIZ52H · pith_short_16: Z3PQLLEIZ52H4K3O · pith_short_8: Z3PQLLEI

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/Z3PQLLEIZ52H4K3OTRLW6NFUGB \
  | 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: cedf05ac88cf747e2b6e9c576f34b43046b833fa78d73df7f36dd32f842c9553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8915c0373267dd6496302bae5eb0715ba5d50a991207f97ac1851aed1e316441",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2025-07-09T17:14:55Z",
    "title_canon_sha256": "ccca5a57ec5e44ee5172746e9b8620911c69a6b81cc8adbbba15c908a30a733f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07051",
    "kind": "arxiv",
    "version": 1
  }
}