Pith Number

pith:NZ27TM4B

pith:2025:NZ27TM4BOLOZKS4AMXYVQQBAQ2

not attested not anchored not stored refs pending

A Quotient Homology Theory of Representation in Neural Networks

Kosio Beshkov

arxiv:2502.01360 v4 · 2025-02-03 · cs.LG · math.AT · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZ27TM4BOLOZKS4AMXYVQQBAQ2}

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.

Cited by

1 paper in Pith

Copositive Matrices with Ordered Off-Diagonal Entries

Receipt and verification

First computed	2026-05-29T02:05:34.270708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e75f9b38172dd954b8065f158402086945b7a0f237cbf9cb3b199444f93d78f

Aliases

arxiv: 2502.01360 · arxiv_version: 2502.01360v4 · doi: 10.48550/arxiv.2502.01360 · pith_short_12: NZ27TM4BOLOZ · pith_short_16: NZ27TM4BOLOZKS4A · pith_short_8: NZ27TM4B

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/NZ27TM4BOLOZKS4AMXYVQQBAQ2 \
  | 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: 6e75f9b38172dd954b8065f158402086945b7a0f237cbf9cb3b199444f93d78f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c82b5e771f6c23b1bc3f8daa2a138e38af1a41e096b11f9acf580d35e0f2d5c",
    "cross_cats_sorted": [
      "math.AT",
      "q-bio.NC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-03T13:52:17Z",
    "title_canon_sha256": "0856d883b5b730a342158821d59c75bb852952b135499f6bba8f94a9df0e8989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01360",
    "kind": "arxiv",
    "version": 4
  }
}