Pith Number

pith:W3LKEBR3

pith:2013:W3LKEBR3UPT7AMB2RDDMQT2KGZ

not attested not anchored not stored refs pending

Symmetric Periodic Orbits in Three Sub-Problems of the N-body Problem

Nai-Chia Chen

arxiv:1311.4209 v1 · 2013-11-17 · 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{W3LKEBR3UPT7AMB2RDDMQT2KGZ}

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	2026-05-18T03:06:53.307132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d6a2063ba3e7f0303a88c6c84f4a364a7b0191ea5b561dfc9c8beec2992b32

Aliases

arxiv: 1311.4209 · arxiv_version: 1311.4209v1 · doi: 10.48550/arxiv.1311.4209 · pith_short_12: W3LKEBR3UPT7 · pith_short_16: W3LKEBR3UPT7AMB2 · pith_short_8: W3LKEBR3

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/W3LKEBR3UPT7AMB2RDDMQT2KGZ \
  | 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: b6d6a2063ba3e7f0303a88c6c84f4a364a7b0191ea5b561dfc9c8beec2992b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1333a8458ea076cbda090c987fe6fde4cb44204861469328e1a569a90efae216",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-17T19:57:47Z",
    "title_canon_sha256": "92718f948d8b1334830b672a6c89304c94f8329148d60b1e15bfdbd51f10822c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4209",
    "kind": "arxiv",
    "version": 1
  }
}