Pith Number

pith:JLPT6JGX

pith:2013:JLPT6JGXYMPFO6UC2EVWJBRDAQ

not attested not anchored not stored refs pending

Boundary measures, generalized Gauss-Green formulas, and mean value property in metric measure spaces

Michele Miranda Jr., Nageswari Shanmugalingam, Niko Marola

arxiv:1304.4352 v4 · 2013-04-16 · math.AP · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLPT6JGXYMPFO6UC2EVWJBRDAQ}

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	2026-05-18T01:31:21.669328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4adf3f24d7c31e577a82d12b64862304313e3292a3aa8e4ee819490f62cc17cd

Aliases

arxiv: 1304.4352 · arxiv_version: 1304.4352v4 · doi: 10.48550/arxiv.1304.4352 · pith_short_12: JLPT6JGXYMPF · pith_short_16: JLPT6JGXYMPFO6UC · pith_short_8: JLPT6JGX

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/JLPT6JGXYMPFO6UC2EVWJBRDAQ \
  | 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: 4adf3f24d7c31e577a82d12b64862304313e3292a3aa8e4ee819490f62cc17cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3278dcd814b780cc5aacc8c0e6da67c4aabf2f306ff4d8249f28931af1a24bb1",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-16T07:40:21Z",
    "title_canon_sha256": "ef1ff6a292e07e9f42b0116a44a0db52ac7c92364776ec94e1ca5b6c4f408c35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4352",
    "kind": "arxiv",
    "version": 4
  }
}