Pith Number

pith:BNVXQKFC

pith:2013:BNVXQKFCFMZWMJTXYMVW6OMK2N

not attested not anchored not stored refs pending

A continuum of periodic solutions to the four-body problem with various choices of masses

Tiancheng Ouyang, Zhifu Xie

arxiv:1310.4206 v2 · 2013-10-15 · 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{BNVXQKFCFMZWMJTXYMVW6OMK2N}

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	2026-05-18T03:00:02.764796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b6b7828a22b33662677c32b6f398ad37a653239d03f46521ced1e2081031b4f

Aliases

arxiv: 1310.4206 · arxiv_version: 1310.4206v2 · doi: 10.48550/arxiv.1310.4206 · pith_short_12: BNVXQKFCFMZW · pith_short_16: BNVXQKFCFMZWMJTX · pith_short_8: BNVXQKFC

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/BNVXQKFCFMZWMJTXYMVW6OMK2N \
  | 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: 0b6b7828a22b33662677c32b6f398ad37a653239d03f46521ced1e2081031b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0aa069bdc615a97f40431fb5ca748ff42a893d0819251210b4095225b2d45db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-15T21:13:11Z",
    "title_canon_sha256": "885a29fa57c5e0aaa565f7e46b4801300fe9b7c262980b090fb2ea65259e37d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4206",
    "kind": "arxiv",
    "version": 2
  }
}