Pith Number

pith:3YX3TWI7

pith:2014:3YX3TWI75PX3TXNUAB27KFNFEH

not attested not anchored not stored refs pending

The quantization for in-homogeneous self-similar measures with in-homogeneous open set condition

Sanguo Zhu

arxiv:1407.2212 v1 · 2014-07-05 · 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{3YX3TWI75PX3TXNUAB27KFNFEH}

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	2026-05-18T02:48:03.019855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de2fb9d91febefb9ddb40075f515a521e02b6d41251cedda187ec4d2d9bc2349

Aliases

arxiv: 1407.2212 · arxiv_version: 1407.2212v1 · doi: 10.48550/arxiv.1407.2212 · pith_short_12: 3YX3TWI75PX3 · pith_short_16: 3YX3TWI75PX3TXNU · pith_short_8: 3YX3TWI7

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/3YX3TWI75PX3TXNUAB27KFNFEH \
  | 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: de2fb9d91febefb9ddb40075f515a521e02b6d41251cedda187ec4d2d9bc2349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15fa02482e1ac34190635f96943ee3d56c6996ea7cdacb8b3d83357c63bdfc9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-05T10:41:47Z",
    "title_canon_sha256": "31682c5a14572bec4aa1b628dab36bd6a12c320282780869bc16e6ce0b63f104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2212",
    "kind": "arxiv",
    "version": 1
  }
}