Pith Number

pith:5XPQJFVV

pith:2016:5XPQJFVVMG64XCATAIMKOZAX7F

not attested not anchored not stored refs pending

Minimal $P$-symmetric period problem of first-order autonomous Hamiltonian Systems

Ben-Xing Zhou, Chungen Liu

arxiv:1612.04033 v1 · 2016-12-13 · 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{5XPQJFVVMG64XCATAIMKOZAX7F}

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	2026-05-18T00:55:05.752002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eddf0496b561bdcb88130218a76417f94045195f9cd4161ae5547b8967748cb8

Aliases

arxiv: 1612.04033 · arxiv_version: 1612.04033v1 · doi: 10.48550/arxiv.1612.04033 · pith_short_12: 5XPQJFVVMG64 · pith_short_16: 5XPQJFVVMG64XCAT · pith_short_8: 5XPQJFVV

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/5XPQJFVVMG64XCATAIMKOZAX7F \
  | 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: eddf0496b561bdcb88130218a76417f94045195f9cd4161ae5547b8967748cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35608f1cf9947057c23343ab90a1bb41f96dcffd16482243144d46cc771c4a21",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-13T05:26:04Z",
    "title_canon_sha256": "4e917011f7d59db7c7faa20081abc0546e07f0b59fb5dbf530221a8c0808adc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04033",
    "kind": "arxiv",
    "version": 1
  }
}