Pith Number

pith:E5Y66Z6H

pith:2026:E5Y66Z6HJR7U6KFJI4ST3HD6NK

not attested not anchored not stored refs pending

Nonlinear Model Reduction of Complex Networks via Spectral Submanifolds

Kaviya Bhaskaran, Mingwu Li, Shobhit Jain

arxiv:2607.24121 v1 · 2026-07-27 · physics.soc-ph · math.DS · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5Y66Z6HJR7U6KFJI4ST3HD6NK}

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	2026-07-28T01:23:46.195524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2771ef67c74c7f4f28a947253d9c7e6a8228b0b25b3faa01035c4813f5c0c64c

Aliases

arxiv: 2607.24121 · arxiv_version: 2607.24121v1 · doi: 10.48550/arxiv.2607.24121 · pith_short_12: E5Y66Z6HJR7U · pith_short_16: E5Y66Z6HJR7U6KFJ · pith_short_8: E5Y66Z6H

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/E5Y66Z6HJR7U6KFJI4ST3HD6NK \
  | 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: 2771ef67c74c7f4f28a947253d9c7e6a8228b0b25b3faa01035c4813f5c0c64c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c2c7c2684d927e482f589397606418fd596de02cab09d9cbb80c855f07ceff",
    "cross_cats_sorted": [
      "math.DS",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-07-27T08:01:36Z",
    "title_canon_sha256": "3b8d19ce25b55fbc003c3694c807d92d893d6e2d9a2948556df3d5b2f114e6d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24121",
    "kind": "arxiv",
    "version": 1
  }
}