Pith Number

pith:GGQNGITY

pith:2011:GGQNGITY3K34AEIHOH5V4B7JSL

not attested not anchored not stored refs pending

Nonautonomous saddle-node bifurcations: random and deterministic forcing

Tobias J\"ager, Vasso Anagnostopoulou

arxiv:1105.5094 v1 · 2011-05-25 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGQNGITY3K34AEIHOH5V4B7JSL}

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	2026-05-18T04:21:20.833185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a0d32278dab7c0110771fb5e07e992cc72e3c3269978e06bef926b09a07984

Aliases

arxiv: 1105.5094 · arxiv_version: 1105.5094v1 · doi: 10.48550/arxiv.1105.5094 · pith_short_12: GGQNGITY3K34 · pith_short_16: GGQNGITY3K34AEIH · pith_short_8: GGQNGITY

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/GGQNGITY3K34AEIHOH5V4B7JSL \
  | 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: 31a0d32278dab7c0110771fb5e07e992cc72e3c3269978e06bef926b09a07984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3378313daa78ab9b008598d7c75733346ccaa8de1489d554991c7f86aa7e8569",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-25T17:40:00Z",
    "title_canon_sha256": "cd938d4cf76f3e3550b4228436b74ea334cfaeb00bdb43e0af30ebb69f75d8a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5094",
    "kind": "arxiv",
    "version": 1
  }
}