Pith Number

pith:MX4TIKXF

pith:2015:MX4TIKXFK6ZSMFLOYE7SW3YQ5T

not attested not anchored not stored refs pending

Non-local effects by homogenization or 3D-1D dimension reduction in elastic materials reinforced by stiff fibers

Ali Sili, Roberto Paroni

arxiv:1503.07453 v1 · 2015-03-25 · 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{MX4TIKXFK6ZSMFLOYE7SW3YQ5T}

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	2026-05-18T02:20:21.053873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65f9342ae557b326156ec13f2b6f10ecf23650905a12530b3be4cf058fdd29e8

Aliases

arxiv: 1503.07453 · arxiv_version: 1503.07453v1 · doi: 10.48550/arxiv.1503.07453 · pith_short_12: MX4TIKXFK6ZS · pith_short_16: MX4TIKXFK6ZSMFLO · pith_short_8: MX4TIKXF

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/MX4TIKXFK6ZSMFLOYE7SW3YQ5T \
  | 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: 65f9342ae557b326156ec13f2b6f10ecf23650905a12530b3be4cf058fdd29e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e83ce1d66d3dd6b1ea2bb46cc1f6daec5c5eabc5f6d6c614c4b8a6c821809c1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-25T16:49:38Z",
    "title_canon_sha256": "f520fb200c5b89fbb68800a34eb123a97bc4071078808c7834c858de59fdb5da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07453",
    "kind": "arxiv",
    "version": 1
  }
}