Pith Number

pith:C5C7FQTN

pith:2016:C5C7FQTNTOFA6J4IWGKGWVJ67Q

not attested not anchored not stored refs pending

On the best constant matrix approximating an oscillatory matrix-valued coefficient in divergence-form operators

Claude Le Bris, Frederic Legoll, Simon Lemaire

arxiv:1612.05807 v3 · 2016-12-17 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5C7FQTNTOFA6J4IWGKGWVJ67Q}

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	2026-05-18T00:35:13.898389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1745f2c26d9b8a0f2788b1946b553efc08200b65fa855e4b19fcbe58a11a3249

Aliases

arxiv: 1612.05807 · arxiv_version: 1612.05807v3 · doi: 10.48550/arxiv.1612.05807 · pith_short_12: C5C7FQTNTOFA · pith_short_16: C5C7FQTNTOFA6J4I · pith_short_8: C5C7FQTN

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/C5C7FQTNTOFA6J4IWGKGWVJ67Q \
  | 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: 1745f2c26d9b8a0f2788b1946b553efc08200b65fa855e4b19fcbe58a11a3249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fcee838fde9bdd9e6c78c16dbb78be80126b9e0cbdcef59002a9f09447cd272",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-17T19:00:58Z",
    "title_canon_sha256": "545d9f32c5ed21765001164b389b920459b93473d759e5f77a396eee07ef4045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05807",
    "kind": "arxiv",
    "version": 3
  }
}