Pith Number

pith:2PPN2NJ6

pith:2015:2PPN2NJ6RBYN5F2WCOSYWEOOUF

not attested not anchored not stored refs pending

Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type

Anna Kairema, Ji Li, Lesley Ward, M. Cristina Pereyra

arxiv:1509.03761 v1 · 2015-09-12 · 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{2PPN2NJ6RBYN5F2WCOSYWEOOUF}

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	2026-05-18T01:33:14.608298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3dedd353e8870de975613a58b11cea148cbab3e9998356178606273f7feef64

Aliases

arxiv: 1509.03761 · arxiv_version: 1509.03761v1 · doi: 10.48550/arxiv.1509.03761 · pith_short_12: 2PPN2NJ6RBYN · pith_short_16: 2PPN2NJ6RBYN5F2W · pith_short_8: 2PPN2NJ6

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/2PPN2NJ6RBYN5F2WCOSYWEOOUF \
  | 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: d3dedd353e8870de975613a58b11cea148cbab3e9998356178606273f7feef64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4223690f0bc250eda5bd4487e6613a050d81667cea8f3c86e539e07be0818ceb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-12T17:12:28Z",
    "title_canon_sha256": "e1e47e072f8a22480fac5d879ddeb167325c6f7fc631cb5fa604bc213dd99d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03761",
    "kind": "arxiv",
    "version": 1
  }
}