Pith Number

pith:TNVCOSWH

pith:2015:TNVCOSWHDD6OE3LIQRQU7ANB7W

not attested not anchored not stored refs pending

Topological equivalences for one-parameter bifurcations of maps

Francisco Balibrea, Henrique M. Oliveira, Jose C. Valverde

arxiv:1503.03700 v2 · 2015-03-12 · 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{TNVCOSWHDD6OE3LIQRQU7ANB7W}

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	2026-05-18T00:59:27.834766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b6a274ac718fce26d6884614f81a1fd92fa114a7f37638f19eea131fefcab62

Aliases

arxiv: 1503.03700 · arxiv_version: 1503.03700v2 · doi: 10.48550/arxiv.1503.03700 · pith_short_12: TNVCOSWHDD6O · pith_short_16: TNVCOSWHDD6OE3LI · pith_short_8: TNVCOSWH

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/TNVCOSWHDD6OE3LIQRQU7ANB7W \
  | 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: 9b6a274ac718fce26d6884614f81a1fd92fa114a7f37638f19eea131fefcab62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2460ecc5b25e34e0b58de65ffdb456b95c6000f99dae7cf5b1d9066a67db4c6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-12T12:52:19Z",
    "title_canon_sha256": "540b073c854bdc8e942af5e5df95c31e86df0a424bbdf13030529ed8d7e032dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03700",
    "kind": "arxiv",
    "version": 2
  }
}