Pith Number

pith:BTD33N42

pith:2013:BTD33N426E4A4ZG3OSYLBYSE3S

not attested not anchored not stored refs pending

$L^p$-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets

Andrew J. Morris, Dorina Mitrea, Marius Mitrea, Steve Hofmann

arxiv:1301.4943 v1 · 2013-01-21 · 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{BTD33N426E4A4ZG3OSYLBYSE3S}

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	2026-05-18T03:35:55.086164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc7bdb79af1380e64db74b0b0e244dcaeedc8537e92402633c5478ef1d18eea

Aliases

arxiv: 1301.4943 · arxiv_version: 1301.4943v1 · doi: 10.48550/arxiv.1301.4943 · pith_short_12: BTD33N426E4A · pith_short_16: BTD33N426E4A4ZG3 · pith_short_8: BTD33N42

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/BTD33N426E4A4ZG3OSYLBYSE3S \
  | 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: 0cc7bdb79af1380e64db74b0b0e244dcaeedc8537e92402633c5478ef1d18eea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330402e409d1886c0906bff702b68b9262cc4221feeda7ba3c505491e5de7d22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-21T18:10:52Z",
    "title_canon_sha256": "cd483ac38c69fb5da6c486d10eb6d5016bce531fc31497564c63fb142aa7f0e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4943",
    "kind": "arxiv",
    "version": 1
  }
}