Pith Number

pith:T7Q6Q4GF

pith:2017:T7Q6Q4GFBAD27CTFA2T4LTZMMW

not attested not anchored not stored refs pending

On the dynamic homogenization of periodic media: Willis' approach versus two-scale paradigm

Bojan Guzina, Shixu Meng

arxiv:1709.07533 v1 · 2017-09-21 · 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{T7Q6Q4GFBAD27CTFA2T4LTZMMW}

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	2026-05-18T00:11:40.793595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fe1e870c50807af8a6506a7c5cf2c65ae48ed844705582e71d1e0fb8268db90

Aliases

arxiv: 1709.07533 · arxiv_version: 1709.07533v1 · doi: 10.48550/arxiv.1709.07533 · pith_short_12: T7Q6Q4GFBAD2 · pith_short_16: T7Q6Q4GFBAD27CTF · pith_short_8: T7Q6Q4GF

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/T7Q6Q4GFBAD27CTFA2T4LTZMMW \
  | 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: 9fe1e870c50807af8a6506a7c5cf2c65ae48ed844705582e71d1e0fb8268db90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5502378692271e921bb8391ff90a633cf73d879896259a83d30ede7a67a6dcc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-21T22:35:25Z",
    "title_canon_sha256": "dd19a12b39fe9b0f8fd82d16173000459a635af994c6d5cb07382a65b142f55d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07533",
    "kind": "arxiv",
    "version": 1
  }
}