Pith Number

pith:VER7L4ZA

pith:2017:VER7L4ZAALGYFBVRLN46APZ6GW

not attested not anchored not stored refs pending

Regular approximations of spectra of singular discrete linear Hamiltonian systems with one singular endpoint?

Yan Liu, Yuming Shi

arxiv:1701.06727 v1 · 2017-01-24 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VER7L4ZAALGYFBVRLN46APZ6GW}

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	2026-05-18T00:52:12.298990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a923f5f32002cd8286b15b79e03f3e358bdf764316ee982995ecd68179b01248

Aliases

arxiv: 1701.06727 · arxiv_version: 1701.06727v1 · doi: 10.48550/arxiv.1701.06727 · pith_short_12: VER7L4ZAALGY · pith_short_16: VER7L4ZAALGYFBVR · pith_short_8: VER7L4ZA

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/VER7L4ZAALGYFBVRLN46APZ6GW \
  | 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: a923f5f32002cd8286b15b79e03f3e358bdf764316ee982995ecd68179b01248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "424534e744819f9c6087ca356f0fbc057a6e8e22ae9533c9fad2ed5754dcf522",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-01-24T04:29:42Z",
    "title_canon_sha256": "3fecfdbfd55b81fe5ac7dc443d83a8d7c0ea3dd7e10f440dd1adace408495e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06727",
    "kind": "arxiv",
    "version": 1
  }
}