Pith Number

pith:HLW6RYSB

pith:2015:HLW6RYSBIU5KOAEFGQW6462U3L

not attested not anchored not stored refs pending

Predictability of Critical Transitions

Christian Kuehn, Sarah Hallerberg, Xiaozhu Zhang

arxiv:1505.05738 v2 · 2015-05-21 · physics.data-an · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLW6RYSBIU5KOAEFGQW6462U3L}

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	2026-05-17T23:57:49.059022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aede8e241453aa70085342dee7b54dac0705ed4370bb455de3acdc6b6026152

Aliases

arxiv: 1505.05738 · arxiv_version: 1505.05738v2 · doi: 10.48550/arxiv.1505.05738 · pith_short_12: HLW6RYSBIU5K · pith_short_16: HLW6RYSBIU5KOAEF · pith_short_8: HLW6RYSB

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/HLW6RYSBIU5KOAEFGQW6462U3L \
  | 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: 3aede8e241453aa70085342dee7b54dac0705ed4370bb455de3acdc6b6026152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8db7e9dbf501b264765d37a178c92eff1fbef420574bf3571db9e0dc3a623fd8",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2015-05-21T13:56:22Z",
    "title_canon_sha256": "f4edff8e081f5a66f9b34dff910feefdaf883ae7762395d1b2d5317505f6c5fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05738",
    "kind": "arxiv",
    "version": 2
  }
}