Pith Number

pith:IG4S5DJG

pith:2011:IG4S5DJGXMRMRMGQZU6UKXRQMP

not attested not anchored not stored refs pending

The parabolic trigonometric functions and the Chebyshev radicals

G. Dattoli, M. Migliorati, P. E. Ricci

arxiv:1102.1560 v1 · 2011-02-08 · 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{IG4S5DJGXMRMRMGQZU6UKXRQMP}

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	2026-05-18T04:29:52.979424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41b92e8d26bb22c8b0d0cd3d455e3063dff22ed4ca7271d87965d130b02273b2

Aliases

arxiv: 1102.1560 · arxiv_version: 1102.1560v1 · doi: 10.48550/arxiv.1102.1560 · pith_short_12: IG4S5DJGXMRM · pith_short_16: IG4S5DJGXMRMRMGQ · pith_short_8: IG4S5DJG

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/IG4S5DJGXMRMRMGQZU6UKXRQMP \
  | 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: 41b92e8d26bb22c8b0d0cd3d455e3063dff22ed4ca7271d87965d130b02273b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "805fbfe90c356abf8f8f5003c22bdd79df6762b2e8368fe692ac370592c1a738",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-08T10:38:47Z",
    "title_canon_sha256": "d230a884b124436768a131ff0cff1f02aa3f77ea9789665dc45a779480d7e6d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1560",
    "kind": "arxiv",
    "version": 1
  }
}