Pith Number

pith:FZ2NSK7W

pith:2013:FZ2NSK7WOVXL62Y3FZFDU64JUK

not attested not anchored not stored refs pending

Partial symmetry breaking and heteroclinic tangencies

Alexandre A. P. Rodrigues, Isabel S. Labouriau

arxiv:1302.5333 v1 · 2013-02-21 · 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{FZ2NSK7WOVXL62Y3FZFDU64JUK}

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	2026-05-18T03:32:57.987657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e74d92bf6756ebf6b1b2e4a3a7b89a2b5b431514fbb763d76e7755fdc348161

Aliases

arxiv: 1302.5333 · arxiv_version: 1302.5333v1 · doi: 10.48550/arxiv.1302.5333 · pith_short_12: FZ2NSK7WOVXL · pith_short_16: FZ2NSK7WOVXL62Y3 · pith_short_8: FZ2NSK7W

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/FZ2NSK7WOVXL62Y3FZFDU64JUK \
  | 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: 2e74d92bf6756ebf6b1b2e4a3a7b89a2b5b431514fbb763d76e7755fdc348161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d1a4830f729f70f7deba6bcdc472949a1eafc583504680e8a72116fa1ed91d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-21T16:50:16Z",
    "title_canon_sha256": "563e96bf9ebdc76c663085005bf387abf7c21290ef491499505aeacec66b046c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5333",
    "kind": "arxiv",
    "version": 1
  }
}