Pith Number

pith:NRBOTGQI

pith:2011:NRBOTGQICX5IZKBBQEOU3B3KLX

not attested not anchored not stored refs pending

Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems

Duanzhi Zhang

arxiv:1110.6915 v1 · 2011-10-31 · 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{NRBOTGQICX5IZKBBQEOU3B3KLX}

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	2026-05-18T04:09:53.907417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c42e99a0815fa8ca821811d4d876a5dd2828f0fa22ef43523e3f6febaad4e77

Aliases

arxiv: 1110.6915 · arxiv_version: 1110.6915v1 · doi: 10.48550/arxiv.1110.6915 · pith_short_12: NRBOTGQICX5I · pith_short_16: NRBOTGQICX5IZKBB · pith_short_8: NRBOTGQI

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/NRBOTGQICX5IZKBBQEOU3B3KLX \
  | 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: 6c42e99a0815fa8ca821811d4d876a5dd2828f0fa22ef43523e3f6febaad4e77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c016f11b9c31ee976c4c66d686c7dfc67c71a3c41268de20368b239609a63e01",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-31T19:43:26Z",
    "title_canon_sha256": "2bce4f783d125cdf10da902b180e247c1cd81e7af18a8d6040ceb5c2fc4b5329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6915",
    "kind": "arxiv",
    "version": 1
  }
}