Pith Number

pith:GWL7MEON

pith:2021:GWL7MEONCXF5Z3RAOLCWX2A57T

not attested not anchored not stored refs pending

Early warning signals for critical transitions in complex systems

G. Ambika, Sandip V. George, Sneha Kachhara

arxiv:2107.01210 v2 · 2021-07-03 · physics.soc-ph · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWL7MEONCXF5Z3RAOLCWX2A57T}

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	2026-07-05T06:27:04.995509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3597f611cd15cbdcee2072c56be81dfce237c3cd6c3adbbcd8622fc7daecb903

Aliases

arxiv: 2107.01210 · arxiv_version: 2107.01210v2 · doi: 10.48550/arxiv.2107.01210 · pith_short_12: GWL7MEONCXF5 · pith_short_16: GWL7MEONCXF5Z3RA · pith_short_8: GWL7MEON

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/GWL7MEONCXF5Z3RAOLCWX2A57T \
  | 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: 3597f611cd15cbdcee2072c56be81dfce237c3cd6c3adbbcd8622fc7daecb903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05ac8cbea4ee12dc058e86d43a995c71015b0cdd4008faf865e1748323208cb4",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2021-07-03T02:20:38Z",
    "title_canon_sha256": "902453a8289e0c10306273216f4933ffcef12c8a6433992715e73f1a5f1786eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01210",
    "kind": "arxiv",
    "version": 2
  }
}