Pith Number

pith:L6JOCREM

pith:2018:L6JOCREMR47ILOJSMAE7VPBSQO

not attested not anchored not stored refs pending

Topologies on Quotient Space of Matrices via Semi-tensor Product

Daizhan Cheng, Zequn Liu

arxiv:1810.12773 v2 · 2018-10-30 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6JOCREMR47ILOJSMAE7VPBSQO}

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	2026-05-17T23:48:45.484339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f92e1448c8f3e85b9326009fabc328387b28ab6be1b7c66c35ad45d27f5bfcb

Aliases

arxiv: 1810.12773 · arxiv_version: 1810.12773v2 · doi: 10.48550/arxiv.1810.12773 · pith_short_12: L6JOCREMR47I · pith_short_16: L6JOCREMR47ILOJS · pith_short_8: L6JOCREM

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/L6JOCREMR47ILOJSMAE7VPBSQO \
  | 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: 5f92e1448c8f3e85b9326009fabc328387b28ab6be1b7c66c35ad45d27f5bfcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c54c537dd85d6c93500dd71a803a9d60d91749448e9af66b7806b0b509486c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-30T14:32:37Z",
    "title_canon_sha256": "f7312244de281d75fb8a1a28e013b3d2fc2f89b54f30b33d5d6ae45b6eb50451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12773",
    "kind": "arxiv",
    "version": 2
  }
}