Pith Number

pith:IOMHSJWM

pith:2019:IOMHSJWMXBUDAHTWD5GLINBES7

not attested not anchored not stored refs pending

Uniform Boundary Controllability and Homogenization of Wave Equations

Fanghua Lin, Zhongwei Shen

arxiv:1904.12172 v2 · 2019-04-27 · 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{IOMHSJWMXBUDAHTWD5GLINBES7}

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.

Cited by

1 paper in Pith

Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues

Receipt and verification

First computed	2026-07-05T04:23:02.899400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43987926ccb868301e761f4cb4342497fc51a1ee5638f046fb275696d495b7c2

Aliases

arxiv: 1904.12172 · arxiv_version: 1904.12172v2 · doi: 10.48550/arxiv.1904.12172 · pith_short_12: IOMHSJWMXBUD · pith_short_16: IOMHSJWMXBUDAHTW · pith_short_8: IOMHSJWM

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/IOMHSJWMXBUDAHTWD5GLINBES7 \
  | 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: 43987926ccb868301e761f4cb4342497fc51a1ee5638f046fb275696d495b7c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bffa1fb35ff0c45f5f98562b9f74e84949e4a9c87b745736ab990b57df9d8cdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-27T16:10:45Z",
    "title_canon_sha256": "084d45a0578c00ef3659519f7e8dd76f72168be8c09fb4695cb3afa01fb86769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12172",
    "kind": "arxiv",
    "version": 2
  }
}