Pith Number

pith:XDKX7XKF

pith:2016:XDKX7XKFW6BVYAQBK7AKGKLJSE

not attested not anchored not stored refs pending

The $\mathrm{GL}_n$-Connes-Marcolli Systems

Yunyi Shen

arxiv:1609.08727 v1 · 2016-09-28 · 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{XDKX7XKFW6BVYAQBK7AKGKLJSE}

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	2026-05-18T01:03:42.088573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d57fdd45b7835c020157c0a32969911912662a55319e7367172556a7bca76a

Aliases

arxiv: 1609.08727 · arxiv_version: 1609.08727v1 · doi: 10.48550/arxiv.1609.08727 · pith_short_12: XDKX7XKFW6BV · pith_short_16: XDKX7XKFW6BVYAQB · pith_short_8: XDKX7XKF

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/XDKX7XKFW6BVYAQBK7AKGKLJSE \
  | 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: b8d57fdd45b7835c020157c0a32969911912662a55319e7367172556a7bca76a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac71af222903832ab35d9cbf3cc336ae5de31325d32ec6decabfaa7591e15985",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-09-28T02:05:15Z",
    "title_canon_sha256": "dacd876bf94cb55662272a49951deff8e622271657cc5a56c289d7f83a9f1dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08727",
    "kind": "arxiv",
    "version": 1
  }
}