Pith Number

pith:R3FLG3ZD

pith:2016:R3FLG3ZDDG4EESBKNHQUFVSXNB

not attested not anchored not stored refs pending

Certain identities on derivatives of radial homogeneous and logarithmic functions

Kei Morii, Tokushi Sato, Yoshihiro Sawano

arxiv:1606.06155 v1 · 2016-06-10 · 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{R3FLG3ZDDG4EESBKNHQUFVSXNB}

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	2026-05-18T01:12:15.368515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ecab36f2319b842482a69e142d657686bd3ff33de4cf2702a1d4d22b27672a7

Aliases

arxiv: 1606.06155 · arxiv_version: 1606.06155v1 · doi: 10.48550/arxiv.1606.06155 · pith_short_12: R3FLG3ZDDG4E · pith_short_16: R3FLG3ZDDG4EESBK · pith_short_8: R3FLG3ZD

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/R3FLG3ZDDG4EESBKNHQUFVSXNB \
  | 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: 8ecab36f2319b842482a69e142d657686bd3ff33de4cf2702a1d4d22b27672a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9ed8507d3989f4ab4d5eef7e36e0067b216ce9e408b6c5952c466dfe732020",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-10T04:26:37Z",
    "title_canon_sha256": "6e6fe250e050764014bac7f381169612150ce6a110c1d9ba0404a264628b0d22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06155",
    "kind": "arxiv",
    "version": 1
  }
}