Pith Number

pith:TLFL5UVL

pith:2016:TLFL5UVLCNMA2IRX2K426DA4KU

not attested not anchored not stored refs pending

Neural Network for Quantum Brain Dynamics: 4D CP$^1$+U(1) Gauge Theory on Lattice and its Phase Structure

Shinya Sakane, Takashi Hiramatsu, Tetsuo Matsui

arxiv:1610.05443 v1 · 2016-10-18 · cond-mat.dis-nn · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLFL5UVLCNMA2IRX2K426DA4KU}

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	2026-05-18T01:01:59.306273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9acabed2ab13580d2237d2b9af0c1c550907444c0d8489731fd07887ee1e96ed

Aliases

arxiv: 1610.05443 · arxiv_version: 1610.05443v1 · doi: 10.48550/arxiv.1610.05443 · pith_short_12: TLFL5UVLCNMA · pith_short_16: TLFL5UVLCNMA2IRX · pith_short_8: TLFL5UVL

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/TLFL5UVLCNMA2IRX2K426DA4KU \
  | 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: 9acabed2ab13580d2237d2b9af0c1c550907444c0d8489731fd07887ee1e96ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e481c9a1402d77d80b0719c992bb0de691ff748557ee138efa9108652d2bc5e",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2016-10-18T05:49:24Z",
    "title_canon_sha256": "4940630a8ab8363c6c1c97361e4c55ddd5a4aec4c567ab265f655e10efc89acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05443",
    "kind": "arxiv",
    "version": 1
  }
}