Pith Number

pith:PPUYVZFX

pith:2016:PPUYVZFXDFRM3DLTCUVB5Z5CC4

not attested not anchored not stored refs pending

An optimal approximation formula for functions with singularities

Ken'ichiro Tanaka, Masaaki Sugihara, Tomoaki Okayama

arxiv:1610.06844 v1 · 2016-10-21 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPUYVZFXDFRM3DLTCUVB5Z5CC4}

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	2026-05-18T00:06:51.504890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be98ae4b71962cd8d73152a1ee7a2173647ff25f6e577b0cc33f37076ee9787

Aliases

arxiv: 1610.06844 · arxiv_version: 1610.06844v1 · doi: 10.48550/arxiv.1610.06844 · pith_short_12: PPUYVZFXDFRM · pith_short_16: PPUYVZFXDFRM3DLT · pith_short_8: PPUYVZFX

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/PPUYVZFXDFRM3DLTCUVB5Z5CC4 \
  | 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: 7be98ae4b71962cd8d73152a1ee7a2173647ff25f6e577b0cc33f37076ee9787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07745e5e11b48b3e5ab9a1a6d309cc4d19c36ae75eb4cd94d44f1a8f9469e979",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-10-21T16:27:29Z",
    "title_canon_sha256": "53b031b383758a3ba25718f90e256064d2248f90712f7ed596c550f274680b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06844",
    "kind": "arxiv",
    "version": 1
  }
}