Pith Number

pith:6L6QRECS

pith:2019:6L6QRECS3BG65SGEVTDOOKSU3J

not attested not anchored not stored refs pending

On Hyperbolic Polynomials and Four-term Recurrence with Linear Coefficients

Richard Adams

arxiv:1904.12455 v1 · 2019-04-29 · math.CV · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6L6QRECS3BG65SGEVTDOOKSU3J}

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	2026-05-17T23:47:35.129768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2fd089052d84deec8c4acc6e72a54da7f52bf9e403d4bee9a59a81150209f07

Aliases

arxiv: 1904.12455 · arxiv_version: 1904.12455v1 · doi: 10.48550/arxiv.1904.12455 · pith_short_12: 6L6QRECS3BG6 · pith_short_16: 6L6QRECS3BG65SGE · pith_short_8: 6L6QRECS

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/6L6QRECS3BG65SGEVTDOOKSU3J \
  | 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: f2fd089052d84deec8c4acc6e72a54da7f52bf9e403d4bee9a59a81150209f07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d423edf2944023d01216d9b90bfd16a79bcef79e2560f357d49ef5bde1116ddc",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-04-29T05:50:47Z",
    "title_canon_sha256": "9893fb6fccc520a2ec732b567034ec62b9ccae6e9f367ae6f78cbdae73b35e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12455",
    "kind": "arxiv",
    "version": 1
  }
}