Pith Number

pith:Z5I2KXHJ

pith:2012:Z5I2KXHJWVPDX5PVV23SXGBFUN

not attested not anchored not stored refs pending

Applications of Fourier analysis in homogenization of Dirichlet problem I. Pointwise Estimates

Hayk Aleksanyan, Henrik Shahgholian, Per Sj\"olin

arxiv:1205.5210 v3 · 2012-05-23 · 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{Z5I2KXHJWVPDX5PVV23SXGBFUN}

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	2026-05-18T03:10:00.225789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf51a55ce9b55e3bf5f5aeb72b9825a349debde7c7bb6e58db5a96bea0736ae1

Aliases

arxiv: 1205.5210 · arxiv_version: 1205.5210v3 · doi: 10.48550/arxiv.1205.5210 · pith_short_12: Z5I2KXHJWVPD · pith_short_16: Z5I2KXHJWVPDX5PV · pith_short_8: Z5I2KXHJ

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/Z5I2KXHJWVPDX5PVV23SXGBFUN \
  | 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: cf51a55ce9b55e3bf5f5aeb72b9825a349debde7c7bb6e58db5a96bea0736ae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8292e7caca8888adc4b77f23726b1be4f8c870e4cd46c9c7a9304502fd8f92f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-23T15:48:20Z",
    "title_canon_sha256": "ed8dda4558f7d10745f9d33fb6fcce318f6212640fd5ccdd46f7b5f9ff3f1174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5210",
    "kind": "arxiv",
    "version": 3
  }
}