Pith Number

pith:DXQHYAPF

pith:2026:DXQHYAPFPI36JJM6CZVYTTOLS4

not attested not anchored not stored refs pending

The Heat Kernel Expansion: Curvature for Shock Detection in Higher-Order Financial Networks

Mohammad Elsayed, Sara Najem

arxiv:2606.19860 v1 · 2026-06-18 · physics.comp-ph · cond-mat.stat-mech · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXQHYAPFPI36JJM6CZVYTTOLS4}

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	2026-06-19T16:12:37.201650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1de07c01e57a37e4a59e166b89cdcb972acb5e36de112c20fe09a17da367203f

Aliases

arxiv: 2606.19860 · arxiv_version: 2606.19860v1 · doi: 10.48550/arxiv.2606.19860 · pith_short_12: DXQHYAPFPI36 · pith_short_16: DXQHYAPFPI36JJM6 · pith_short_8: DXQHYAPF

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/DXQHYAPFPI36JJM6CZVYTTOLS4 \
  | 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: 1de07c01e57a37e4a59e166b89cdcb972acb5e36de112c20fe09a17da367203f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c716811ddc9a23895c1cce55f89770b2b8e3b25ee86506ff81597ab9c299e991",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.soc-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-06-18T07:12:51Z",
    "title_canon_sha256": "78c88ac697433a875a221d3b0d8e757fe35138b6997ae0f9455a5f762cdb84be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19860",
    "kind": "arxiv",
    "version": 1
  }
}