Pith Number

pith:553COI54

pith:2005:553COI54LIYN5MD42OVRWBZRTF

not attested not anchored not stored refs pending

On the sums of series of reciprocals

Leonhard Euler

arxiv:math/0506415 v2 · 2005-06-20 · math.HO · 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{553COI54LIYN5MD42OVRWBZRTF}

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

Higher-genus multiple zeta values

Receipt and verification

First computed	2026-07-04T15:09:18.854216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef762723bc5a30deb07cd3ab1b07319975a68cd897ac12effc6c6eb6d92ec5a6

Aliases

arxiv: math/0506415 · arxiv_version: math/0506415v2 · doi: 10.48550/arxiv.math/0506415 · pith_short_12: 553COI54LIYN · pith_short_16: 553COI54LIYN5MD4 · pith_short_8: 553COI54

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/553COI54LIYN5MD42OVRWBZRTF \
  | 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: ef762723bc5a30deb07cd3ab1b07319975a68cd897ac12effc6c6eb6d92ec5a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d28e5309107508f93549d51b51b9dcace74538717653258ab67699a61716f353",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.HO",
    "submitted_at": "2005-06-20T21:30:11Z",
    "title_canon_sha256": "a7825236f14b72c15762f988a9ab3a1248c4921137f9220808520e4d0a0e6add"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506415",
    "kind": "arxiv",
    "version": 2
  }
}