Pith Number

pith:DYWBUMVD

pith:2018:DYWBUMVD5X5EEVV3B2WS7U7LHD

not attested not anchored not stored refs pending

Non approximate derivability of the Takagi function

Javier G\'omez Gil, Juan Ferrera

arxiv:1807.08783 v2 · 2018-07-23 · 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{DYWBUMVD5X5EEVV3B2WS7U7LHD}

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	2026-05-17T23:42:35.041627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e2c1a32a3edfa4256bb0ead2fd3eb38c52e817cec7297f203fd286acd0512c0

Aliases

arxiv: 1807.08783 · arxiv_version: 1807.08783v2 · doi: 10.48550/arxiv.1807.08783 · pith_short_12: DYWBUMVD5X5E · pith_short_16: DYWBUMVD5X5EEVV3 · pith_short_8: DYWBUMVD

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/DYWBUMVD5X5EEVV3B2WS7U7LHD \
  | 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: 1e2c1a32a3edfa4256bb0ead2fd3eb38c52e817cec7297f203fd286acd0512c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31c25fbc8d9e604e9d929404e9710867e0bae1f280b55cc057fc0579866d732f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-23T18:46:51Z",
    "title_canon_sha256": "4dea3409ca55dd27c7518599a902f5e9ac4bc39455fd1f8ecc6d0f48a007af02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08783",
    "kind": "arxiv",
    "version": 2
  }
}