Pith Number

pith:XU2AF6YV

pith:2019:XU2AF6YV67YOLEUF5MMBSJK2KV

not attested not anchored not stored refs pending

Superdifferential of the Takagi function

Javier G\'omez Gil, Juan Ferrera

arxiv:1906.10192 v1 · 2019-06-24 · 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{XU2AF6YV67YOLEUF5MMBSJK2KV}

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	2026-05-17T23:42:31.969014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd3402fb15f7f0e59285eb1819255a55619a9308e64cf15801ff826692b17693

Aliases

arxiv: 1906.10192 · arxiv_version: 1906.10192v1 · doi: 10.48550/arxiv.1906.10192 · pith_short_12: XU2AF6YV67YO · pith_short_16: XU2AF6YV67YOLEUF · pith_short_8: XU2AF6YV

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/XU2AF6YV67YOLEUF5MMBSJK2KV \
  | 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: bd3402fb15f7f0e59285eb1819255a55619a9308e64cf15801ff826692b17693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c16129788ee5b11e0b5ff11275c33143ab21b13bdfb27f024ccbdfa16eb6805b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-06-24T19:35:40Z",
    "title_canon_sha256": "83485aba696b5d3be2dabb763fc25473c0c6b641d8d8335d9853c15c776fa8e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10192",
    "kind": "arxiv",
    "version": 1
  }
}