Pith Number

pith:GJC5TNW6

pith:2011:GJC5TNW6ERGK7RU2TGCU2BGRDF

not attested not anchored not stored refs pending

Early warning signals for critical transitions: A generalized modeling approach

Steven J. Lade, Thilo gross

arxiv:1107.3639 v1 · 2011-07-19 · q-bio.PE · 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{GJC5TNW6ERGK7RU2TGCU2BGRDF}

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	2026-05-18T02:01:15.080669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3245d9b6de244cafc69a99854d04d1195f9a780aeed79381c7e9868538566a65

Aliases

arxiv: 1107.3639 · arxiv_version: 1107.3639v1 · doi: 10.48550/arxiv.1107.3639 · pith_short_12: GJC5TNW6ERGK · pith_short_16: GJC5TNW6ERGK7RU2 · pith_short_8: GJC5TNW6

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/GJC5TNW6ERGK7RU2TGCU2BGRDF \
  | 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: 3245d9b6de244cafc69a99854d04d1195f9a780aeed79381c7e9868538566a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc6e768880f44678d70226ebcb6993eeb3227f93e42270f5be8949ba5b1c4c2d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2011-07-19T07:30:12Z",
    "title_canon_sha256": "8d1ae941dbcf26060c240ae3ad46deb729abbae558d1063d8fa8178e47902fc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3639",
    "kind": "arxiv",
    "version": 1
  }
}