Pith Number

pith:LUJHODOG

pith:2018:LUJHODOG7THLSHRDJ3RSLOIQXR

not attested not anchored not stored refs pending

The existence of periodic solution for infinite dimensional Hamiltonian systems

Q.Wang, W.Deng, W.Han

arxiv:1810.07932 v1 · 2018-10-18 · 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{LUJHODOG7THLSHRDJ3RSLOIQXR}

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	2026-05-18T00:02:53.716473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d12770dc6fcceb91e234ee325b910bc7cf42b1b450ad23c031b066de9ef922b

Aliases

arxiv: 1810.07932 · arxiv_version: 1810.07932v1 · doi: 10.48550/arxiv.1810.07932 · pith_short_12: LUJHODOG7THL · pith_short_16: LUJHODOG7THLSHRD · pith_short_8: LUJHODOG

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/LUJHODOG7THLSHRDJ3RSLOIQXR \
  | 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: 5d12770dc6fcceb91e234ee325b910bc7cf42b1b450ad23c031b066de9ef922b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3653d2f7cbf056dcbedd89758a44229c5730678f2030ee1016462707f8f8c8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-10-18T07:46:14Z",
    "title_canon_sha256": "21db2e865751f04ee885a989d51475ad71127d8f8dee7b6baf42eb70caab242c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07932",
    "kind": "arxiv",
    "version": 1
  }
}