Pith Number

pith:DGAHHGSL

pith:2025:DGAHHGSLMDSUHBQ44HR6WYBFXT

not attested not anchored not stored refs pending

The Tautochrone of Huygens and Abel: From Constructive Geometry to Fractional Calculus

Francesco Mainardi, Luiz Roberto Evangelista

arxiv:2509.05308 v3 · 2025-08-25 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGAHHGSLMDSUHBQ44HR6WYBFXT}

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	2026-05-28T01:04:07.404219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1980739a4b60e543861ce1e3eb6025bce05d9436bf890e477ae3f4c57d54aec8

Aliases

arxiv: 2509.05308 · arxiv_version: 2509.05308v3 · doi: 10.48550/arxiv.2509.05308 · pith_short_12: DGAHHGSLMDSU · pith_short_16: DGAHHGSLMDSUHBQ4 · pith_short_8: DGAHHGSL

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/DGAHHGSLMDSUHBQ44HR6WYBFXT \
  | 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: 1980739a4b60e543861ce1e3eb6025bce05d9436bf890e477ae3f4c57d54aec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13380f3ac494657c41240fb63302f462711e102ef529f3c20165309b01c69e98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2025-08-25T08:32:30Z",
    "title_canon_sha256": "f68650d29507687906cb57305b654c3dcd81a6477e0a1b0b59465d1c8df0240f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05308",
    "kind": "arxiv",
    "version": 3
  }
}