Pith Number

pith:D5OSV6KK

pith:2019:D5OSV6KKRS6V2TDRKNJH5XGWHM

not attested not anchored not stored refs pending

Higher-order linearization and regularity in nonlinear homogenization

Samuel J. Ferguson, Scott Armstrong, Tuomo Kuusi

arxiv:1910.03987 v1 · 2019-10-09 · 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{D5OSV6KKRS6V2TDRKNJH5XGWHM}

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	2026-07-05T01:04:03.820498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f5d2af94a8cbd5d4c7153527edcd63b03b2f6550daec49d57ef1d160276a40c

Aliases

arxiv: 1910.03987 · arxiv_version: 1910.03987v1 · doi: 10.48550/arxiv.1910.03987 · pith_short_12: D5OSV6KKRS6V · pith_short_16: D5OSV6KKRS6V2TDR · pith_short_8: D5OSV6KK

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/D5OSV6KKRS6V2TDRKNJH5XGWHM \
  | 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: 1f5d2af94a8cbd5d4c7153527edcd63b03b2f6550daec49d57ef1d160276a40c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42dd35e159ff9c275615601af1ad06e3da19383b04b6b45ca92199c6ef693d7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-10-09T13:43:54Z",
    "title_canon_sha256": "0096a1f48decd6d87df7c61e2475b0d3efa418e1d7925c4f1803d04c62987ab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.03987",
    "kind": "arxiv",
    "version": 1
  }
}