Pith Number

pith:MFY3LH6T

pith:2008:MFY3LH6T3ZTU54EO5UCZMMP3FR

not attested not anchored not stored refs pending

Finding the sum of any series from a given general term

Leonhard Euler

arxiv:0806.4096 v1 · 2008-06-25 · math.HO · cs.NA · math.CA · 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{MFY3LH6T3ZTU54EO5UCZMMP3FR}

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	2026-06-03T22:06:07.439901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6171b59fd3de674ef08eed059631fb2c53d4fe6915a63183b4076cf27eb546bb

Aliases

arxiv: 0806.4096 · arxiv_version: 0806.4096v1 · doi: 10.48550/arxiv.0806.4096 · pith_short_12: MFY3LH6T3ZTU · pith_short_16: MFY3LH6T3ZTU54EO · pith_short_8: MFY3LH6T

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/MFY3LH6T3ZTU54EO5UCZMMP3FR \
  | 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: 6171b59fd3de674ef08eed059631fb2c53d4fe6915a63183b4076cf27eb546bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9947f5fa3dfc2638399daa9e2801896f25bec02d44de681c0ad8a06f438edd63",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2008-06-25T13:38:47Z",
    "title_canon_sha256": "54e2af85f6afe59cde8efe31b1dfccab8b79d2b6f8ed82f7a7156427804a9536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.4096",
    "kind": "arxiv",
    "version": 1
  }
}