Pith Number

pith:TPH5DNGR

pith:2026:TPH5DNGRKANB572D2U56EMWJNV

not attested not anchored not stored refs pending

Temporal Matrix Scale Invariance and the Classification of Tipping Points

Alejandro Frank, Laurence A. Jacobs

arxiv:2606.02649 v1 · 2026-05-31 · nlin.CD · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPH5DNGRKANB572D2U56EMWJNV}

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	2026-06-03T00:05:05.592152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bcfd1b4d1501a1eff43d53be232c96d7ad8534fa5021fbae4f9c925e36da827

Aliases

arxiv: 2606.02649 · arxiv_version: 2606.02649v1 · doi: 10.48550/arxiv.2606.02649 · pith_short_12: TPH5DNGRKANB · pith_short_16: TPH5DNGRKANB572D · pith_short_8: TPH5DNGR

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/TPH5DNGRKANB572D2U56EMWJNV \
  | 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: 9bcfd1b4d1501a1eff43d53be232c96d7ad8534fa5021fbae4f9c925e36da827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f3b2e2355b89c7a76d6d91499bf381907c70fb3f47ba5ea6bc7884bb50c0e5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2026-05-31T19:48:39Z",
    "title_canon_sha256": "1a52f92be3e7c221958c2ed58c548fbd9660d30bd66deb0364333fecd043d437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02649",
    "kind": "arxiv",
    "version": 1
  }
}