Pith Number

pith:RNWPVE64

pith:2026:RNWPVE64NUFFWHG52XZE3SY5RA

not attested not anchored not stored refs pending

TAGTorch: A PyTorch Library for Geometry, Topology, and Symmetry-Aware Machine Learning

Brendan Kennedy, Emilie Purvine, Gregory Roek, Henry Kvinge, Tegan Emerson

arxiv:2607.28755 v1 · 2026-07-30 · 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{RNWPVE64NUFFWHG52XZE3SY5RA}

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	2026-08-03T00:12:34.590270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b6cfa93dc6d0a5b1cddd5f24dcb1d88393bfa942e30733587735f539fa02eb3

Aliases

arxiv: 2607.28755 · arxiv_version: 2607.28755v1 · doi: 10.48550/arxiv.2607.28755 · pith_short_12: RNWPVE64NUFF · pith_short_16: RNWPVE64NUFFWHG5 · pith_short_8: RNWPVE64

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/RNWPVE64NUFFWHG52XZE3SY5RA \
  | 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: 8b6cfa93dc6d0a5b1cddd5f24dcb1d88393bfa942e30733587735f539fa02eb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2666f4bbc838a6c547dd113e04cadb4140d2a9278aaf77b61d46b8e7902dd9c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-30T18:20:42Z",
    "title_canon_sha256": "cbb5d18c9bf64634120510327d215a1825464706c880a94c3b663f933c959ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28755",
    "kind": "arxiv",
    "version": 1
  }
}