Pith Number

pith:XMQP3QDF

pith:2020:XMQP3QDF5ZREDA6SRASQY73MD3

not attested not anchored not stored refs pending

A Necessary Condition on Chain Reachable Robustness of Dynamical Systems

Jun Liu, Maxwell Fitzsimmons

arxiv:2005.01570 v1 · 2020-05-04 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMQP3QDF5ZREDA6SRASQY73MD3}

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	2026-07-05T01:00:09.017812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb20fdc065ee624183d288250c7f6c1ee33af537c347809f173c50501ed2ea61

Aliases

arxiv: 2005.01570 · arxiv_version: 2005.01570v1 · doi: 10.48550/arxiv.2005.01570 · pith_short_12: XMQP3QDF5ZRE · pith_short_16: XMQP3QDF5ZREDA6S · pith_short_8: XMQP3QDF

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/XMQP3QDF5ZREDA6SRASQY73MD3 \
  | 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: bb20fdc065ee624183d288250c7f6c1ee33af537c347809f173c50501ed2ea61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7ad3027ac9ff765d0496dfce8125717e6aacf4cfd0341fa7a236f05d161f846",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-05-04T15:34:55Z",
    "title_canon_sha256": "fa06672c8a75788ebc6aeb464834f735f3a059814765108b0dd5ba1ea1557d29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.01570",
    "kind": "arxiv",
    "version": 1
  }
}