Pith Number

pith:CPQ6YI4M

pith:2012:CPQ6YI4MHCTOALUUANLPYCF3O7

not attested not anchored not stored refs pending

Meso-scale obstructions to stability of 1D center manifolds for networks of coupled differential equations with symmetric Jacobian

Anne-Ly Do, Jeremias Epperlein, Stefan Siegmund, Thilo gross

arxiv:1207.3736 v1 · 2012-07-16 · 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{CPQ6YI4MHCTOALUUANLPYCF3O7}

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	2026-05-18T01:56:17.934698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13e1ec238c38a6e02e940356fc08bb77f306c146d91c536cd939062da7c53977

Aliases

arxiv: 1207.3736 · arxiv_version: 1207.3736v1 · doi: 10.48550/arxiv.1207.3736 · pith_short_12: CPQ6YI4MHCTO · pith_short_16: CPQ6YI4MHCTOALUU · pith_short_8: CPQ6YI4M

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/CPQ6YI4MHCTOALUUANLPYCF3O7 \
  | 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: 13e1ec238c38a6e02e940356fc08bb77f306c146d91c536cd939062da7c53977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a2a8d8c50cb6a43d1707fe52ec992c5452eff93cca8ceeda5abde6618bb7d7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-07-16T17:26:26Z",
    "title_canon_sha256": "68c286f11783da2defa624806ffe191afb21c370d1c8bdd004035ae9695134aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3736",
    "kind": "arxiv",
    "version": 1
  }
}