Pith Number

pith:6NZBNALF

pith:2010:6NZBNALFSIWZ33PLQTKQI5G52U

not attested not anchored not stored refs pending

Physical Measure and Absolute Continuity for One-Dimensional Center Direction

Jiagang Yang, Marcelo Viana

arxiv:1012.0513 v1 · 2010-12-02 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NZBNALFSIWZ33PLQTKQI5G52U}

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	2026-05-18T02:23:16.603763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f372168165922d9dedeb84d50474ddd52ab7799df2faaa0c3652e6d42b1c5e2c

Aliases

arxiv: 1012.0513 · arxiv_version: 1012.0513v1 · doi: 10.48550/arxiv.1012.0513 · pith_short_12: 6NZBNALFSIWZ · pith_short_16: 6NZBNALFSIWZ33PL · pith_short_8: 6NZBNALF

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/6NZBNALFSIWZ33PLQTKQI5G52U \
  | 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: f372168165922d9dedeb84d50474ddd52ab7799df2faaa0c3652e6d42b1c5e2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a43dfb4383aa77e752fc213f41633ad4710775b239d17169d759559fe21e29a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-02T17:28:51Z",
    "title_canon_sha256": "27225b37398651c31329841c3b38e7d130680d284284136d18302600d026dee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0513",
    "kind": "arxiv",
    "version": 1
  }
}