Pith Number

pith:VRN2AWJF

pith:2026:VRN2AWJFCAGEFTLVYAKVSN7F37

not attested not anchored not stored refs pending

Riemannian Deep Learning:Modules, Networks, and Geometries

Chen Ziheng

arxiv:2607.19305 v1 · 2026-07-21 · cs.LG · cs.AI · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRN2AWJFCAGEFTLVYAKVSN7F37}

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	2026-07-22T01:24:35.584388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac5ba05925100c42cd75c0155937e5dfcdbe853d5700949622830498847e9e14

Aliases

arxiv: 2607.19305 · arxiv_version: 2607.19305v1 · doi: 10.48550/arxiv.2607.19305 · pith_short_12: VRN2AWJFCAGE · pith_short_16: VRN2AWJFCAGEFTLV · pith_short_8: VRN2AWJF

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/VRN2AWJFCAGEFTLVYAKVSN7F37 \
  | 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: ac5ba05925100c42cd75c0155937e5dfcdbe853d5700949622830498847e9e14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e19eb50a157fca6a26c2c5f70b360c0878339f4a1599edfca2ae06e818e0590",
    "cross_cats_sorted": [
      "cs.AI",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-21T17:17:35Z",
    "title_canon_sha256": "d401858e15ee816b28fe79675689ba8b668ed4b559c1339c92a49bba42c720c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19305",
    "kind": "arxiv",
    "version": 1
  }
}