Pith Number

pith:7IWLI4ZJ

pith:2018:7IWLI4ZJS4CAHTKJ7T6PZCSMKN

not attested not anchored not stored refs pending

The choice of representative volumes in the approximation of effective properties of random materials

Julian Fischer

arxiv:1807.00834 v1 · 2018-07-02 · math.AP · cs.NA · math.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IWLI4ZJS4CAHTKJ7T6PZCSMKN}

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.

Cited by

1 paper in Pith

Variance reduction for effective energies of random lattices in the Thomas-Fermi-von Weizs\"acker model

Receipt and verification

First computed	2026-06-04T19:12:05.347858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa2cb47329970403cd49fcfcfc8a4c537727621cc38c89c3733ba373d8e34222

Aliases

arxiv: 1807.00834 · arxiv_version: 1807.00834v1 · doi: 10.48550/arxiv.1807.00834 · pith_short_12: 7IWLI4ZJS4CA · pith_short_16: 7IWLI4ZJS4CAHTKJ · pith_short_8: 7IWLI4ZJ

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/7IWLI4ZJS4CAHTKJ7T6PZCSMKN \
  | 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: fa2cb47329970403cd49fcfcfc8a4c537727621cc38c89c3733ba373d8e34222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5a7c8eeaaab417c510ecfb0e3429f9e55ec917efff0ab3f72172d9cf5d581e9",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-02T18:00:11Z",
    "title_canon_sha256": "b70e4a8c2482c19d8c805d8dcd1844e4633f3fdaa4afddcb2ce46bd769281de8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00834",
    "kind": "arxiv",
    "version": 1
  }
}