Pith Number

pith:YQVJG5V3

pith:2015:YQVJG5V33FRII4KOT6J7TPN7HR

not attested not anchored not stored refs pending

Homogenization of high order elliptic operators with periodic coefficients

Andrey Kukushkin, Tatiana Suslina

arxiv:1511.04260 v1 · 2015-11-13 · 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{YQVJG5V33FRII4KOT6J7TPN7HR}

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	2026-05-18T01:26:59.280512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c42a9376bbd96284714e9f93f9bdbf3c4bce49724093489cf949ecfedea39372

Aliases

arxiv: 1511.04260 · arxiv_version: 1511.04260v1 · doi: 10.48550/arxiv.1511.04260 · pith_short_12: YQVJG5V33FRI · pith_short_16: YQVJG5V33FRII4KO · pith_short_8: YQVJG5V3

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/YQVJG5V33FRII4KOT6J7TPN7HR \
  | 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: c42a9376bbd96284714e9f93f9bdbf3c4bce49724093489cf949ecfedea39372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cb3853752c2d41efba6c200d4d92207055659097f38dd5f971b734ce12691e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-13T12:31:51Z",
    "title_canon_sha256": "9741f242771b1b015e42499761fb50fbd421f1b4c1579ef492fd4665b75e23ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04260",
    "kind": "arxiv",
    "version": 1
  }
}