Pith Number

pith:PTBV34FF

pith:2016:PTBV34FFCE2KLD7XHYUUKNTPNH

not attested not anchored not stored refs pending

Discriminants of Chebyshev-like polynomials and their generating functions

Khang Tran

arxiv:1601.04377 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{PTBV34FFCE2KLD7XHYUUKNTPNH}

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	2026-05-18T01:22:45.231107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc35df0a51134a58ff73e2945366f69fe3854e2fe1a18860e84daf974b5b7cc

Aliases

arxiv: 1601.04377 · arxiv_version: 1601.04377v1 · doi: 10.48550/arxiv.1601.04377 · pith_short_12: PTBV34FFCE2K · pith_short_16: PTBV34FFCE2KLD7X · pith_short_8: PTBV34FF

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/PTBV34FFCE2KLD7XHYUUKNTPNH \
  | 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: 7cc35df0a51134a58ff73e2945366f69fe3854e2fe1a18860e84daf974b5b7cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70609a8a8fb5c1ce2c8cf41d82827e0180181f81eb519c1c925007df0ee883dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-18T01:05:35Z",
    "title_canon_sha256": "b28cef771e95f8a7cd939fdb2718dce07ef90cdb73e2ec975bbf070712dc38d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04377",
    "kind": "arxiv",
    "version": 1
  }
}