Pith Number

pith:ZV3I2BIF

pith:2016:ZV3I2BIFPCP2NHIBFKPNTQEPVV

not attested not anchored not stored refs pending

Computation Methods for combinatorial sums and Euler type numbers related to new families of numbers

Yilmaz Simsek

arxiv:1604.05608 v1 · 2016-04-19 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZV3I2BIFPCP2NHIBFKPNTQEPVV}

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	2026-05-18T00:15:59.536345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd768d0505789fa69d012a9ed9c08fad4473e5d4870ec0da0a740f7d4efc1287

Aliases

arxiv: 1604.05608 · arxiv_version: 1604.05608v1 · doi: 10.48550/arxiv.1604.05608 · pith_short_12: ZV3I2BIFPCP2 · pith_short_16: ZV3I2BIFPCP2NHIB · pith_short_8: ZV3I2BIF

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/ZV3I2BIFPCP2NHIBFKPNTQEPVV \
  | 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: cd768d0505789fa69d012a9ed9c08fad4473e5d4870ec0da0a740f7d4efc1287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de0e63c9b97af188f5162103faf0b3d3a9615744d60e2fd27d7a476ae9da5f8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-19T14:55:42Z",
    "title_canon_sha256": "98fb49b37ed2b2f2dd8137632ba5fb8443aacc58eeb870b6437d8a2ebcf6d2f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05608",
    "kind": "arxiv",
    "version": 1
  }
}