Pith Number

pith:4VRKA4C3

pith:2026:4VRKA4C3BGZ42Z5IQSANOM2YFR

not attested not anchored not stored refs pending

Learning Permutation-invariant Macroscopic Dynamics

Mengyi Chen, Qianxiao Li, Zhichao Han

arxiv:2605.30812 v1 · 2026-05-29 · cs.LG · physics.comp-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{4VRKA4C3BGZ42Z5IQSANOM2YFR}

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	2026-06-01T01:03:18.251919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e562a0705b09b3cd67a88480d733582c50f23ba90da1edc3c19eff0d4b5f9cd4

Aliases

arxiv: 2605.30812 · arxiv_version: 2605.30812v1 · doi: 10.48550/arxiv.2605.30812 · pith_short_12: 4VRKA4C3BGZ4 · pith_short_16: 4VRKA4C3BGZ42Z5I · pith_short_8: 4VRKA4C3

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/4VRKA4C3BGZ42Z5IQSANOM2YFR \
  | 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: e562a0705b09b3cd67a88480d733582c50f23ba90da1edc3c19eff0d4b5f9cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13ab0feb5a41d3729b068a669256691393991e5e1caaad393c9144cf4ccfbb26",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-29T03:57:55Z",
    "title_canon_sha256": "9bbe3790f4fe331f275bfe7ca28c706bbadf5585e677119861eefca8f34a30ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30812",
    "kind": "arxiv",
    "version": 1
  }
}