Pith Number

pith:VRZKYGCM

pith:2013:VRZKYGCMRNUWRNLYMNT5BIEVHZ

not attested not anchored not stored refs pending

L\'evy group and density measures

Martin Sleziak, Milo\v{s} Ziman

arxiv:1305.7212 v1 · 2013-05-30 · math.NT · 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{VRZKYGCMRNUWRNLYMNT5BIEVHZ}

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	2026-05-18T03:22:08.395711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac72ac184c8b6968b5786367d0a0953e670e6d5f6969b68ada4f8d8192819cbe

Aliases

arxiv: 1305.7212 · arxiv_version: 1305.7212v1 · doi: 10.48550/arxiv.1305.7212 · pith_short_12: VRZKYGCMRNUW · pith_short_16: VRZKYGCMRNUWRNLY · pith_short_8: VRZKYGCM

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/VRZKYGCMRNUWRNLYMNT5BIEVHZ \
  | 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: ac72ac184c8b6968b5786367d0a0953e670e6d5f6969b68ada4f8d8192819cbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ee0e43877e8a6f51bb28cf0662a519a64fa0811089911563e72c6fae7096692",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-30T19:24:55Z",
    "title_canon_sha256": "cacba6ff63afaa58e0a2f000f5dfa1951565382b687f8d79186e7cc11fac66e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7212",
    "kind": "arxiv",
    "version": 1
  }
}