Pith Number

pith:YFZQLNG5

pith:2015:YFZQLNG5LKSKZNVBFTPQVUNO6I

not attested not anchored not stored refs pending

Calder\'on-Zygmund estimates for stochastic homogenization

Jean-Paul Daniel, Scott Armstrong

arxiv:1504.04560 v1 · 2015-04-17 · 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{YFZQLNG5LKSKZNVBFTPQVUNO6I}

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	2026-05-18T02:18:32.094917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c17305b4dd5aa4acb6a12cdf0ad1aef206109b7f574837f79d6bdfcf2cc728ae

Aliases

arxiv: 1504.04560 · arxiv_version: 1504.04560v1 · doi: 10.48550/arxiv.1504.04560 · pith_short_12: YFZQLNG5LKSK · pith_short_16: YFZQLNG5LKSKZNVB · pith_short_8: YFZQLNG5

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/YFZQLNG5LKSKZNVBFTPQVUNO6I \
  | 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: c17305b4dd5aa4acb6a12cdf0ad1aef206109b7f574837f79d6bdfcf2cc728ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbfef971960c261df8a32612fa1963c5c45e4d3b7dcdde79fca473ae3c888420",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-17T16:31:34Z",
    "title_canon_sha256": "04aae997ae9bfb9e96dded8304a85237dbe2ed54f83113096bb22a05585da8b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04560",
    "kind": "arxiv",
    "version": 1
  }
}