Pith Number

pith:VEBFUXB2

pith:2026:VEBFUXB23BWD4KBJWYKSNYQYMR

not attested not anchored not stored refs pending

Compositionality of Global Dynamics in Product and Skew-Product Systems

Tony Wehbe, William D. Kalies

arxiv:2606.30925 v1 · 2026-06-29 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VEBFUXB23BWD4KBJWYKSNYQYMR}

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	2026-07-01T00:17:21.823879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9025a5c3ad86c3e2829b61526e218647486ca7320cda8880158a387af22c00b

Aliases

arxiv: 2606.30925 · arxiv_version: 2606.30925v1 · doi: 10.48550/arxiv.2606.30925 · pith_short_12: VEBFUXB23BWD · pith_short_16: VEBFUXB23BWD4KBJ · pith_short_8: VEBFUXB2

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/VEBFUXB23BWD4KBJWYKSNYQYMR \
  | 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: a9025a5c3ad86c3e2829b61526e218647486ca7320cda8880158a387af22c00b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68243f1b548023cd63581576fcdc02d01c8493a5a778a7a89c1007529d0624c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-29T21:20:49Z",
    "title_canon_sha256": "30493c4120e98ae875123f7844d95b4e5af63e1eb313b14ef93b7c5677d74342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30925",
    "kind": "arxiv",
    "version": 1
  }
}