Pith Number

pith:C7DFKCMK

pith:2016:C7DFKCMKTAFCXWHMZEWV2TWLAW

not attested not anchored not stored refs pending

Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems

Chang-shou Lin, Kouichi Takemura, Ting-Jung Kuo, Zhijie Chen

arxiv:1610.02216 v1 · 2016-10-07 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7DFKCMKTAFCXWHMZEWV2TWLAW}

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	2026-05-18T00:25:07.994460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17c655098a980a2bd8ecc92d5d4ecb05a6a30a915e44af8c3d3b1d69b1f8bfa2

Aliases

arxiv: 1610.02216 · arxiv_version: 1610.02216v1 · doi: 10.48550/arxiv.1610.02216 · pith_short_12: C7DFKCMKTAFC · pith_short_16: C7DFKCMKTAFCXWHM · pith_short_8: C7DFKCMK

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/C7DFKCMKTAFCXWHMZEWV2TWLAW \
  | 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: 17c655098a980a2bd8ecc92d5d4ecb05a6a30a915e44af8c3d3b1d69b1f8bfa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef165354366153e195aab357e598440f197ad0c95cd343f4034bb19ee90c1477",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-10-07T10:34:18Z",
    "title_canon_sha256": "346df4c2cc1f23875177ff69e582aa57c4489405f3b6298b43f40e09a2492959"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02216",
    "kind": "arxiv",
    "version": 1
  }
}