Pith Number

pith:MVFUMINI

pith:2017:MVFUMINI4HKNREP6FAUPHZSA2U

not attested not anchored not stored refs pending

Several explicit formulae of sums and hyper-sums of powers of integers

Diffalah Laissaoui, Fouad Bounebirat, Mourad Rahmani

arxiv:1712.07208 v1 · 2017-12-19 · 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{MVFUMINI4HKNREP6FAUPHZSA2U}

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.

Cited by

1 paper in Pith

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Receipt and verification

First computed	2026-05-18T00:27:35.226484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

654b4621a8e1d4d891fe2828f3e640d52f9d7fbc01453b7c8af7f39fd881a8ae

Aliases

arxiv: 1712.07208 · arxiv_version: 1712.07208v1 · doi: 10.48550/arxiv.1712.07208 · pith_short_12: MVFUMINI4HKN · pith_short_16: MVFUMINI4HKNREP6 · pith_short_8: MVFUMINI

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/MVFUMINI4HKNREP6FAUPHZSA2U \
  | 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: 654b4621a8e1d4d891fe2828f3e640d52f9d7fbc01453b7c8af7f39fd881a8ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89a142ed27a6f67f37a7b101a30deb536cf96dbac89e5ab3daf74501cda985d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-19T21:01:24Z",
    "title_canon_sha256": "2dc2448cb8df63d94d938810dae4aff0dd7946b1bff1714a93423ab9a3927792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07208",
    "kind": "arxiv",
    "version": 1
  }
}