Pith Number

pith:JWMO775A

pith:2017:JWMO775APKQKGKAQHBNZNZPSIT

not attested not anchored not stored refs pending

Iterating the Cuntz-Nica-Pimsner construction for compactly aligned product systems

James Fletcher

arxiv:1706.08626 v2 · 2017-06-26 · 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{JWMO775APKQKGKAQHBNZNZPSIT}

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	2026-05-18T00:06:41.754871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d98efffa07aa0a32810385b96e5f244d8b195cb68123a7fde1dadf95fd47ea7

Aliases

arxiv: 1706.08626 · arxiv_version: 1706.08626v2 · doi: 10.48550/arxiv.1706.08626 · pith_short_12: JWMO775APKQK · pith_short_16: JWMO775APKQKGKAQ · pith_short_8: JWMO775A

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/JWMO775APKQKGKAQHBNZNZPSIT \
  | 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: 4d98efffa07aa0a32810385b96e5f244d8b195cb68123a7fde1dadf95fd47ea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81d1ad6066c4692e2a87c151470b0d8972d5af374c91e4d3b03b1f6568c141ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-26T23:47:46Z",
    "title_canon_sha256": "0a05802d98479b26fdf579779e7d8cd7f67f7065312d5b2c2dc781fa5c382f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08626",
    "kind": "arxiv",
    "version": 2
  }
}