Pith Number

pith:LG3M654Q

pith:2015:LG3M654QZCHHWDHN6FHSWLMV6B

not attested not anchored not stored refs pending

Macroscopic description of microscopically strongly inhomogenous systems: A mathematical basis for the synthesis of higher gradients metamaterials

Antonio Carcaterra, Francesco Dell'Isola, Mario Pulvirenti, Raffaele Esposito

arxiv:1504.08015 v1 · 2015-04-29 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LG3M654QZCHHWDHN6FHSWLMV6B}

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	2026-05-18T02:17:00.102980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59b6cf7790c88e7b0cedf14f2b2d95f0511c003c3b771e77ba8ac39cf642dc9c

Aliases

arxiv: 1504.08015 · arxiv_version: 1504.08015v1 · doi: 10.48550/arxiv.1504.08015 · pith_short_12: LG3M654QZCHH · pith_short_16: LG3M654QZCHHWDHN · pith_short_8: LG3M654Q

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/LG3M654QZCHHWDHN6FHSWLMV6B \
  | 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: 59b6cf7790c88e7b0cedf14f2b2d95f0511c003c3b771e77ba8ac39cf642dc9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "098a0ea4c71bd0a34fd39b107ec8080c204373ad200c90b70af1e2a0e51675c4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-29T20:31:42Z",
    "title_canon_sha256": "a572557a37a2d33c5512406e6dc2e16c155d8758f7f2d9fd52cebccc94770eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08015",
    "kind": "arxiv",
    "version": 1
  }
}