Pith Number

pith:WTKYYJU5

pith:2016:WTKYYJU5PEZGWCZEMHQT4DKJMQ

not attested not anchored not stored refs pending

Stability of fixed points and associated relative equilibria of the $3$-body problem on $\mathbb S^1$ and $\mathbb S^2$

Florin Diacu, Juan Manuel S\'anchez-Cerritos, Shuqiang Zhu

arxiv:1603.03339 v2 · 2016-03-10 · math.DS · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTKYYJU5PEZGWCZEMHQT4DKJMQ}

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	2026-05-18T00:53:20.971631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d58c269d79326b0b2461e13e0d496407a8c0a27576129edf21be8f25dc512d

Aliases

arxiv: 1603.03339 · arxiv_version: 1603.03339v2 · doi: 10.48550/arxiv.1603.03339 · pith_short_12: WTKYYJU5PEZG · pith_short_16: WTKYYJU5PEZGWCZE · pith_short_8: WTKYYJU5

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/WTKYYJU5PEZGWCZEMHQT4DKJMQ \
  | 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: b4d58c269d79326b0b2461e13e0d496407a8c0a27576129edf21be8f25dc512d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5598a65adf565a9b006de02e614c654d8aa1024fd0e8b7934116a707f990804",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-10T17:24:20Z",
    "title_canon_sha256": "f3ffd1265504fea87fbf4a0c8981656a990e0b0b25f5ccefbd75ec75ba9a94ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03339",
    "kind": "arxiv",
    "version": 2
  }
}