Pith Number

pith:2HWHX2CC

pith:2019:2HWHX2CCJGW7HHQQYFGM5N6UQG

not attested not anchored not stored refs pending

Infinite derivatives of the Takagi-Van der Waerden functions

Javier G\'omez Gil, Jes\'us Llorente, Juan Ferrera

arxiv:1903.11631 v2 · 2019-03-27 · 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{2HWHX2CCJGW7HHQQYFGM5N6UQG}

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	2026-05-17T23:49:54.716066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ec7be84249adf39e10c14cceb7d48183ab4550a7728492a67ccd9654252ca9

Aliases

arxiv: 1903.11631 · arxiv_version: 1903.11631v2 · doi: 10.48550/arxiv.1903.11631 · pith_short_12: 2HWHX2CCJGW7 · pith_short_16: 2HWHX2CCJGW7HHQQ · pith_short_8: 2HWHX2CC

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/2HWHX2CCJGW7HHQQYFGM5N6UQG \
  | 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: d1ec7be84249adf39e10c14cceb7d48183ab4550a7728492a67ccd9654252ca9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "703e775166f0b1bcbb0cf5c8656df2630d6b2833d48e0a96543bd82415958df3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-03-27T18:10:00Z",
    "title_canon_sha256": "c40534bd786bbf076f9d1b2186e5edcb495ff47a3ff15ae9857959a1116e63ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11631",
    "kind": "arxiv",
    "version": 2
  }
}