Pith Number

pith:6LRZZAEW

pith:2008:6LRZZAEWWZCFWZPTUSNLJJBT3G

not attested not anchored not stored refs pending

On the Exel crossed product of topological covering maps

Sergei Silvestrov, Toke Meier Carlsen

arxiv:0811.0056 v1 · 2008-11-01 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LRZZAEWWZCFWZPTUSNLJJBT3G}

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	2026-05-18T02:40:47.844560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2e39c8096b6445b65f3a49ab4a433d9892a979dc4f4bacdd53a5cd66e9dfbeb

Aliases

arxiv: 0811.0056 · arxiv_version: 0811.0056v1 · doi: 10.48550/arxiv.0811.0056 · pith_short_12: 6LRZZAEWWZCF · pith_short_16: 6LRZZAEWWZCFWZPT · pith_short_8: 6LRZZAEW

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/6LRZZAEWWZCFWZPTUSNLJJBT3G \
  | 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: f2e39c8096b6445b65f3a49ab4a433d9892a979dc4f4bacdd53a5cd66e9dfbeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8678f82467364ef077df4351eeb18e7727213fe0535cf34ec35ea07789cf8f3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-11-01T03:22:04Z",
    "title_canon_sha256": "c240c266336546a40c0c2d9fafb45ffde8cdcf8ce05d42b269673d4ae046d9d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0056",
    "kind": "arxiv",
    "version": 1
  }
}