Pith Number

pith:MXKEY65X

pith:2018:MXKEY65XQNZRZHWH5D6KE3RDIM

not attested not anchored not stored refs pending

Quasi-potential Calculation and Minimum Action Method for Limit Cycle

Haijun Yu, Ling Lin, Xiang Zhou

arxiv:1806.04031 v1 · 2018-06-11 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXKEY65XQNZRZHWH5D6KE3RDIM}

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	2026-05-18T00:13:38.759684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d44c7bb783731c9ec7e8fca26e23430f2d9d668a3bba35cb3963861c06e792

Aliases

arxiv: 1806.04031 · arxiv_version: 1806.04031v1 · doi: 10.48550/arxiv.1806.04031 · pith_short_12: MXKEY65XQNZR · pith_short_16: MXKEY65XQNZRZHWH · pith_short_8: MXKEY65X

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/MXKEY65XQNZRZHWH5D6KE3RDIM \
  | 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: 65d44c7bb783731c9ec7e8fca26e23430f2d9d668a3bba35cb3963861c06e792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31a65be20ffc2551befc11af9bdf599a2a569331d26fed5ea3050d65ea4ddf99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-11T14:52:45Z",
    "title_canon_sha256": "8706f149b94faacfb5d00554b422a59b7460e38ca67e24b9b598a23cc7b365cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04031",
    "kind": "arxiv",
    "version": 1
  }
}