Pith Number

pith:INMMKGHC

pith:2013:INMMKGHCHYN67GDAQPOPVDWSWP

not attested not anchored not stored refs pending

Unavoidable sets and harmonic measures living on small sets

Ivan Netuka, Wolfhard Hansen

arxiv:1306.5433 v2 · 2013-06-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INMMKGHCHYN67GDAQPOPVDWSWP}

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	2026-05-18T00:44:29.697480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4358c518e23e1bef986083dcfa8ed2b3f9cb2ec01d3f899448cf65301b6c452c

Aliases

arxiv: 1306.5433 · arxiv_version: 1306.5433v2 · doi: 10.48550/arxiv.1306.5433 · pith_short_12: INMMKGHCHYN6 · pith_short_16: INMMKGHCHYN67GDA · pith_short_8: INMMKGHC

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/INMMKGHCHYN67GDAQPOPVDWSWP \
  | 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: 4358c518e23e1bef986083dcfa8ed2b3f9cb2ec01d3f899448cf65301b6c452c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f088707f073c4cb42538541d13a86812b00f8d5080e6e16ce491a6896b31fe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-23T16:23:45Z",
    "title_canon_sha256": "bf62819ba8ac734d0b68e7cd77de51553f1e06d274b7cec147953eeb5d9139c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5433",
    "kind": "arxiv",
    "version": 2
  }
}