Pith Number

pith:C22IZPUD

pith:2017:C22IZPUDXA3JEMSOBBZ3NHQ67X

not attested not anchored not stored refs pending

Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points

Anna Cima, Armengol Gasull, V\'ictor Ma\~nosa

arxiv:1701.05816 v1 · 2017-01-20 · 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{C22IZPUDXA3JEMSOBBZ3NHQ67X}

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	2026-05-18T00:26:12.904139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b48cbe83b83692324e0873b69e1efdf98f889e20469bf88416d34160cd5e1b

Aliases

arxiv: 1701.05816 · arxiv_version: 1701.05816v1 · doi: 10.48550/arxiv.1701.05816 · pith_short_12: C22IZPUDXA3J · pith_short_16: C22IZPUDXA3JEMSO · pith_short_8: C22IZPUD

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/C22IZPUDXA3JEMSOBBZ3NHQ67X \
  | 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: 16b48cbe83b83692324e0873b69e1efdf98f889e20469bf88416d34160cd5e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "115b2832868ce8b5e5d0a1f8c7c24bd87544b821112f13f30e8121ffd6ed77fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-20T14:54:19Z",
    "title_canon_sha256": "f0d709fc5424544d842adc504147afef8f61984cbf33e3674e5dbf7f4c4ccbf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05816",
    "kind": "arxiv",
    "version": 1
  }
}