Pith Number

pith:FSKQ4QMC

pith:2015:FSKQ4QMCQETXHMP6WIAXKRLRSB

not attested not anchored not stored refs pending

Global bifurcations close to symmetry

Alexandre A. P. Rodrigues, Isabel S. Labouriau

arxiv:1504.01659 v3 · 2015-04-07 · 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{FSKQ4QMCQETXHMP6WIAXKRLRSB}

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	2026-05-18T01:19:38.790513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c950e4182812773b1feb20175457190419a6e70997e45cd4554601e116299f9

Aliases

arxiv: 1504.01659 · arxiv_version: 1504.01659v3 · doi: 10.48550/arxiv.1504.01659 · pith_short_12: FSKQ4QMCQETX · pith_short_16: FSKQ4QMCQETXHMP6 · pith_short_8: FSKQ4QMC

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/FSKQ4QMCQETXHMP6WIAXKRLRSB \
  | 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: 2c950e4182812773b1feb20175457190419a6e70997e45cd4554601e116299f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e8ea50e13b240c28ca5a9b8585238d6a053983db952a9d4d33a5834edf858ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-07T16:24:54Z",
    "title_canon_sha256": "c60baf40c75fe447f5bc7bf8a42e3ce1e7fde1548f578659791911b3b6846e88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01659",
    "kind": "arxiv",
    "version": 3
  }
}