Pith Number

pith:546WCDT6

pith:2017:546WCDT6KCZMREGGASHZ3CHGD2

not attested not anchored not stored refs pending

On the K-theory of C*-algebras for substitution tilings (a pedestrian version)

Daniel Gon\c{c}alves, Maria Ramirez-Solano

arxiv:1712.09551 v2 · 2017-12-27 · math.OA · math.DS · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{546WCDT6KCZMREGGASHZ3CHGD2}

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	2026-05-18T00:05:05.374284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef3d610e7e50b2c890c6048f9d88e61e92d9853efa861b842619efa4848db36e

Aliases

arxiv: 1712.09551 · arxiv_version: 1712.09551v2 · doi: 10.48550/arxiv.1712.09551 · pith_short_12: 546WCDT6KCZM · pith_short_16: 546WCDT6KCZMREGG · pith_short_8: 546WCDT6

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/546WCDT6KCZMREGGASHZ3CHGD2 \
  | 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: ef3d610e7e50b2c890c6048f9d88e61e92d9853efa861b842619efa4848db36e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7697da8c2fa402d2b3cf2ca2b3d9e3d84509e2a8ab71b7a00de1bf805367ffdd",
    "cross_cats_sorted": [
      "math.DS",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-12-27T11:23:15Z",
    "title_canon_sha256": "8358d4b18df0c0837e257687b850a3390bea331c06568358d7c8286b8e3655e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09551",
    "kind": "arxiv",
    "version": 2
  }
}