Pith Number

pith:X52FOXD5

pith:2019:X52FOXD5SHW6HN4QJSQGN5VPSO

not attested not anchored not stored refs pending

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing

Alexander Gutierrez G., Castro G, Daniel Cort\'es Z., Diego A.

arxiv:1908.05777 v1 · 2019-08-15 · 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{X52FOXD5SHW6HN4QJSQGN5VPSO}

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	2026-07-04T23:57:53.083074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf74575c7d91ede3b7904ca066f6af9391244e48062b93d954588be1226e1379

Aliases

arxiv: 1908.05777 · arxiv_version: 1908.05777v1 · doi: 10.48550/arxiv.1908.05777 · pith_short_12: X52FOXD5SHW6 · pith_short_16: X52FOXD5SHW6HN4Q · pith_short_8: X52FOXD5

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/X52FOXD5SHW6HN4QJSQGN5VPSO \
  | 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: bf74575c7d91ede3b7904ca066f6af9391244e48062b93d954588be1226e1379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "789aca80ceedf9ba1fb88d90f685b169d89982b15e140b750748925e027a647d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-15T21:41:09Z",
    "title_canon_sha256": "c08ee3a45e2abf93b5416f5d1ad6a7d732a2e696fb99ae277f001607b39f1080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05777",
    "kind": "arxiv",
    "version": 1
  }
}