Pith Number

pith:XCDN65RU

pith:2018:XCDN65RU3WAOEXNWFNVTCZ5JP2

not attested not anchored not stored refs pending

The module embedding theorem via towers of algebras

David Penneys, Desmond Coles, Peter Huston, Srivatsa Srinivas

arxiv:1810.07049 v1 · 2018-10-16 · math.OA · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCDN65RU3WAOEXNWFNVTCZ5JP2}

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	2026-05-18T00:03:10.630484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b886df7634dd80e25db62b6b3167a97e9b7a522c334f1cad02ea70760debee79

Aliases

arxiv: 1810.07049 · arxiv_version: 1810.07049v1 · doi: 10.48550/arxiv.1810.07049 · pith_short_12: XCDN65RU3WAO · pith_short_16: XCDN65RU3WAOEXNW · pith_short_8: XCDN65RU

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/XCDN65RU3WAOEXNWFNVTCZ5JP2 \
  | 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: b886df7634dd80e25db62b6b3167a97e9b7a522c334f1cad02ea70760debee79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a71d17c8920d0dbef9f0ca62bb0a495c1dac5c1f365874a80f123869f8032a9f",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-10-16T14:48:31Z",
    "title_canon_sha256": "ef3a00117254b64c747caeb4134f39c8bc092df363b7fdbe6aff9835e0979974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07049",
    "kind": "arxiv",
    "version": 1
  }
}