Pith Number

pith:JCVZAKCK

pith:2016:JCVZAKCKAXFVDXTLTRHBNRUZKO

not attested not anchored not stored refs pending

Discriminants of Polynomials Related to Chebyshev Polynomials: The 'Mutt and Jeff' Syndrome

Khang Tran

arxiv:1601.04380 v1 · 2016-01-18 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCVZAKCKAXFVDXTLTRHBNRUZKO}

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	2026-05-18T01:22:45.223806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48ab90284a05cb51de6b9c4e16c6995385a58e120d8fa5203b14d1075be16787

Aliases

arxiv: 1601.04380 · arxiv_version: 1601.04380v1 · doi: 10.48550/arxiv.1601.04380 · pith_short_12: JCVZAKCKAXFV · pith_short_16: JCVZAKCKAXFVDXTL · pith_short_8: JCVZAKCK

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/JCVZAKCKAXFVDXTLTRHBNRUZKO \
  | 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: 48ab90284a05cb51de6b9c4e16c6995385a58e120d8fa5203b14d1075be16787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76e91f3c8e5d52b88dbea34ba8807223e396a3f4d131d15b215a432bf8999e1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-18T01:20:57Z",
    "title_canon_sha256": "bc6d7eccce32b4c3bc97b6285bb69eeb0ddc814a10be5676b2235c91d85a17ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04380",
    "kind": "arxiv",
    "version": 1
  }
}