Pith Number

pith:7EATBM3N

pith:2023:7EATBM3NE4WD3XTXYF3TMBGRLY

not attested not anchored not stored refs pending

Optimal Parameterizing Manifolds for Anticipating Tipping Points and Higher-order Critical Transitions

Honghu Liu, James C. McWilliams, Micka\"el D. Chekroun

arxiv:2307.06537 v2 · 2023-07-13 · 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{7EATBM3NE4WD3XTXYF3TMBGRLY}

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	2026-07-05T06:50:56.776468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f90130b36d272c3dde77c1773604d15e3e10f720ca79b1cd58681b77826c5c33

Aliases

arxiv: 2307.06537 · arxiv_version: 2307.06537v2 · doi: 10.48550/arxiv.2307.06537 · pith_short_12: 7EATBM3NE4WD · pith_short_16: 7EATBM3NE4WD3XTX · pith_short_8: 7EATBM3N

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/7EATBM3NE4WD3XTXYF3TMBGRLY \
  | 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: f90130b36d272c3dde77c1773604d15e3e10f720ca79b1cd58681b77826c5c33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4be111cc4ff0c4b34d0b493325f824a7a84a5ee13323708d698c71848cd95cc8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-07-13T02:52:47Z",
    "title_canon_sha256": "b0a804a1925eb958e02f87f327baf62cf8bd35774520831499eeebd834c88a88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.06537",
    "kind": "arxiv",
    "version": 2
  }
}