Pith Number

pith:WTHHBGDL

pith:2017:WTHHBGDLK3KNUAJ4P4QRSZLX2Q

not attested not anchored not stored refs pending

Levy-Steinitz theorem and achievement sets of conditionally convergent series on the real plane

Jacek Marchwicki, Szymon Glab

arxiv:1705.06472 v1 · 2017-05-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTHHBGDLK3KNUAJ4P4QRSZLX2Q}

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	2026-05-18T00:44:14.622277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4ce70986b56d4da013c7f21196577d4103f0457d8546be844a39234696b41b3

Aliases

arxiv: 1705.06472 · arxiv_version: 1705.06472v1 · doi: 10.48550/arxiv.1705.06472 · pith_short_12: WTHHBGDLK3KN · pith_short_16: WTHHBGDLK3KNUAJ4 · pith_short_8: WTHHBGDL

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/WTHHBGDLK3KNUAJ4P4QRSZLX2Q \
  | 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: b4ce70986b56d4da013c7f21196577d4103f0457d8546be844a39234696b41b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46ad821498d422388ddedca461c35a3b9799da4bea2d45ef36a8032241e29505",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-18T08:47:32Z",
    "title_canon_sha256": "ec5e947ab29eecb4c5d28dc5fb446615d9af61ba8c79cb12cbd4d69952285706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06472",
    "kind": "arxiv",
    "version": 1
  }
}