Pith Number

pith:HCUOSYFT

pith:2026:HCUOSYFT4PE2FEGVU2EIXF2L6R

not attested not anchored not stored refs pending

Exact Neural-Network Representations of the Motzkin States

Chaohui Fan, Hai-Jun Liao, Jia-lin Chen, Runde Zha, Tao Xiang, Yuntian Gu

arxiv:2607.22522 v1 · 2026-07-24 · cond-mat.str-el · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCUOSYFT4PE2FEGVU2EIXF2L6R}

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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	2026-07-27T01:21:31.954163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38a8e960b3e3c9a290d5a6888b974bf47b39a7f4a8eeb83d0f080a24981f279e

Aliases

arxiv: 2607.22522 · arxiv_version: 2607.22522v1 · doi: 10.48550/arxiv.2607.22522 · pith_short_12: HCUOSYFT4PE2 · pith_short_16: HCUOSYFT4PE2FEGV · pith_short_8: HCUOSYFT

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/HCUOSYFT4PE2FEGVU2EIXF2L6R \
  | 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: 38a8e960b3e3c9a290d5a6888b974bf47b39a7f4a8eeb83d0f080a24981f279e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3f92d6329354cef1882bd63254667f2314a9b784e8373dafd5f2a5f430be622",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-07-24T17:50:44Z",
    "title_canon_sha256": "c456411fd1eddc42cb73510c76f348eb0864eaff7544e5b0de3e47173d413f86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22522",
    "kind": "arxiv",
    "version": 1
  }
}