Pith Number

pith:BBMETS5P

pith:2012:BBMETS5PO7G57RJWRACF2V2YOD

not attested not anchored not stored refs pending

Applications of Fourier analysis in homogenization of Dirichlet problem II. $L^p$ estimates

Hayk Aleksanyan, Henrik Shahgholian, Per Sj\"olin

arxiv:1209.0483 v2 · 2012-09-03 · 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{BBMETS5PO7G57RJWRACF2V2YOD}

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	2026-05-18T03:09:59.891796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

085849cbaf77cddfc53688045d575870ff52b8ef6a8ff588837179b7f4bcc2ff

Aliases

arxiv: 1209.0483 · arxiv_version: 1209.0483v2 · doi: 10.48550/arxiv.1209.0483 · pith_short_12: BBMETS5PO7G5 · pith_short_16: BBMETS5PO7G57RJW · pith_short_8: BBMETS5P

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/BBMETS5PO7G57RJWRACF2V2YOD \
  | 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: 085849cbaf77cddfc53688045d575870ff52b8ef6a8ff588837179b7f4bcc2ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58514b445099faf79c3ced7b71105400ae3f747a2fccbcdc52e3f52520c2211e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-03T20:45:49Z",
    "title_canon_sha256": "ee78f7b52bf277d388d545e9da25f95a37bdef22d4141bb7cf8e372d03d3314e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0483",
    "kind": "arxiv",
    "version": 2
  }
}