Pith Number

pith:E5ADQUZN

pith:2012:E5ADQUZNYIR5KGRKL3L7YSDEGA

not attested not anchored not stored refs pending

Hopf bifurcation with zero frequency and imperfect SO(2) symmetry

Alvaro Meseguer, Francisco Marques, Jose M. Lopez, J. R. Pacheco, Juan M. Lopez

arxiv:1206.1643 v1 · 2012-06-08 · 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{E5ADQUZNYIR5KGRKL3L7YSDEGA}

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	2026-05-18T03:54:03.614593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

274038532dc223d51a2a5ed7fc48643011c4e4d15b1af36c2ab2df5d9f15ad6c

Aliases

arxiv: 1206.1643 · arxiv_version: 1206.1643v1 · doi: 10.48550/arxiv.1206.1643 · pith_short_12: E5ADQUZNYIR5 · pith_short_16: E5ADQUZNYIR5KGRK · pith_short_8: E5ADQUZN

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/E5ADQUZNYIR5KGRKL3L7YSDEGA \
  | 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: 274038532dc223d51a2a5ed7fc48643011c4e4d15b1af36c2ab2df5d9f15ad6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80be3e9665d32d1e96a5bf85625217092358198353eaa4acfbd065af40b7b428",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-08T00:37:26Z",
    "title_canon_sha256": "c3aaa3623da446b17a86adcb8955169266a99c1ae030126dedcf6e6b8160086c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1643",
    "kind": "arxiv",
    "version": 1
  }
}