Pith Number

pith:Y6XJDODR

pith:2026:Y6XJDODRIZG2CXH32YBV2D3P6L

not attested not anchored not stored refs pending

Torus Graphs for Large Scale Neural Phase Analysis

Casey Hanks, David E. Carlson, Jack Goffinet

arxiv:2606.00496 v1 · 2026-05-30 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6XJDODRIZG2CXH32YBV2D3P6L}

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	2026-06-02T01:03:56.375830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7ae91b871464da15cfbd6035d0f6ff2f8255703fe4fbd507974b2a81ba9fc46

Aliases

arxiv: 2606.00496 · arxiv_version: 2606.00496v1 · doi: 10.48550/arxiv.2606.00496 · pith_short_12: Y6XJDODRIZG2 · pith_short_16: Y6XJDODRIZG2CXH3 · pith_short_8: Y6XJDODR

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/Y6XJDODRIZG2CXH32YBV2D3P6L \
  | 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: c7ae91b871464da15cfbd6035d0f6ff2f8255703fe4fbd507974b2a81ba9fc46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bc74a6a292462d1ced4abe9d3ede2d82ce2b5153498348b4f1d399d85dace60",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-30T02:56:56Z",
    "title_canon_sha256": "b5c782fd99989cb0c5390081c03b5390b41062b64514950d919c373bcab948ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00496",
    "kind": "arxiv",
    "version": 1
  }
}