Pith Number

pith:Y32SJXXS

pith:2017:Y32SJXXSMPN25PASA4BO3FUEEN

not attested not anchored not stored refs pending

A note on Abel's partial summation formula

Constantin P. Niculescu, Marius Marinel St\u{a}nescu

arxiv:1706.08079 v2 · 2017-06-25 · 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{Y32SJXXSMPN25PASA4BO3FUEEN}

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	2026-05-18T00:35:41.025125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6f524def263dbaebc120702ed96842357d5574c977fcb16ec88be6754de3454

Aliases

arxiv: 1706.08079 · arxiv_version: 1706.08079v2 · doi: 10.48550/arxiv.1706.08079 · pith_short_12: Y32SJXXSMPN2 · pith_short_16: Y32SJXXSMPN25PAS · pith_short_8: Y32SJXXS

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/Y32SJXXSMPN25PASA4BO3FUEEN \
  | 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: c6f524def263dbaebc120702ed96842357d5574c977fcb16ec88be6754de3454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c3212904d7b3177935e17e71975580e945ce31a6760c0a1bfbcf9180c6c26cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-25T11:15:57Z",
    "title_canon_sha256": "5cc173457dc1738a930480a591a6e54670702e9fff57ce78436f45aec8edb8e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08079",
    "kind": "arxiv",
    "version": 2
  }
}