Pith Number

pith:PVKKOZMO

pith:2013:PVKKOZMOZKZILKQGKNTGMSF2SG

not attested not anchored not stored refs pending

Space-Filling vs. Luzin's Condition (N)

Thomas Z\"urcher

arxiv:1310.6898 v1 · 2013-10-25 · math.CA · 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{PVKKOZMOZKZILKQGKNTGMSF2SG}

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	2026-05-18T03:08:56.798463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d54a7658ecab285aa0653666648ba919421597c566b835722b916a6ad832dca

Aliases

arxiv: 1310.6898 · arxiv_version: 1310.6898v1 · doi: 10.48550/arxiv.1310.6898 · pith_short_12: PVKKOZMOZKZI · pith_short_16: PVKKOZMOZKZILKQG · pith_short_8: PVKKOZMO

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/PVKKOZMOZKZILKQGKNTGMSF2SG \
  | 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: 7d54a7658ecab285aa0653666648ba919421597c566b835722b916a6ad832dca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a4416e096806bdb47dcfe6bb7d2127e39a66133cd86265ddcb9e55268dbd02",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-25T12:55:43Z",
    "title_canon_sha256": "477415c1bd888b02b0d069000dcf18f48fad1567de52cfedbc64f6e1f7ad8cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6898",
    "kind": "arxiv",
    "version": 1
  }
}