Pith Number

pith:H4P7C3L7

pith:2018:H4P7C3L73MHNWWEA26DY3UXXQF

not attested not anchored not stored refs pending

Decomposition and pointwise estimates of periodic Green functions of some elliptic equations with periodic oscillatory coefficients

Marc Josien

arxiv:1807.09062 v1 · 2018-07-24 · 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{H4P7C3L73MHNWWEA26DY3UXXQF}

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	2026-05-18T00:09:56.898753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f1ff16d7fdb0edb5880d7878dd2f7814bbcfc61b83d55972b103dcc35e0a8ba

Aliases

arxiv: 1807.09062 · arxiv_version: 1807.09062v1 · doi: 10.48550/arxiv.1807.09062 · pith_short_12: H4P7C3L73MHN · pith_short_16: H4P7C3L73MHNWWEA · pith_short_8: H4P7C3L7

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/H4P7C3L73MHNWWEA26DY3UXXQF \
  | 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: 3f1ff16d7fdb0edb5880d7878dd2f7814bbcfc61b83d55972b103dcc35e0a8ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c2f77c6d93e7c245102fb6d9156b63c329e08617615698a11fd2a3ead0295c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-24T12:23:05Z",
    "title_canon_sha256": "9c29858eb1cd55266611265f8a1e64890503e6e9f631f8e671fb7db229b1ea25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09062",
    "kind": "arxiv",
    "version": 1
  }
}