Pith Number

pith:OHQGTTBD

pith:2013:OHQGTTBDCXL2AZLMGGWEPDWQDU

not attested not anchored not stored refs pending

A characterization of BMO self-maps of a metric measure space

Juha Kinnunen, Nageswari Shanmugalingam, Niko Marola, Riikka Korte

arxiv:1308.3933 v3 · 2013-08-19 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHQGTTBDCXL2AZLMGGWEPDWQDU}

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	2026-05-18T01:31:21.631962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e069cc2315d7a0656c31ac478ed01d07bfe224c0d0319f10b799fa08d41ba9

Aliases

arxiv: 1308.3933 · arxiv_version: 1308.3933v3 · doi: 10.48550/arxiv.1308.3933 · pith_short_12: OHQGTTBDCXL2 · pith_short_16: OHQGTTBDCXL2AZLM · pith_short_8: OHQGTTBD

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/OHQGTTBDCXL2AZLMGGWEPDWQDU \
  | 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: 71e069cc2315d7a0656c31ac478ed01d07bfe224c0d0319f10b799fa08d41ba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88efba9d4af69afd84ab2f79b8506749dae9f15e082abb44e79cc46adfa3ddd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-08-19T06:57:16Z",
    "title_canon_sha256": "96ec023637d2fde23162337c71e181f477857720a35287e824d292478ff60b62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3933",
    "kind": "arxiv",
    "version": 3
  }
}