Pith Number

pith:YWJ3367J

pith:2026:YWJ3367JCQQXP2S362H62NLQAK

not attested not anchored not stored refs pending

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics

Snigdha Chandan Khilar

arxiv:2607.18829 v1 · 2026-07-21 · cs.LG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWJ3367JCQQXP2S362H62NLQAK}

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	2026-07-22T01:23:14.768265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c593bdfbe9142177ea5bf68fed3570029015b78f20fbf2958b3780ee39df1afc

Aliases

arxiv: 2607.18829 · arxiv_version: 2607.18829v1 · doi: 10.48550/arxiv.2607.18829 · pith_short_12: YWJ3367JCQQX · pith_short_16: YWJ3367JCQQXP2S3 · pith_short_8: YWJ3367J

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/YWJ3367JCQQXP2S362H62NLQAK \
  | 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: c593bdfbe9142177ea5bf68fed3570029015b78f20fbf2958b3780ee39df1afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddfae1796c1513eb98ec4ccb4efb710f5a6d8018486b398c65887b54a140be96",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-21T08:10:28Z",
    "title_canon_sha256": "ddebb9b9f2ee92ead3fc6171f850542a5981df9155073887fbdcc51301db3c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18829",
    "kind": "arxiv",
    "version": 1
  }
}