Pith Number

pith:HMZTLKKX

pith:2010:HMZTLKKXRH5L3IVZ4EMYLLV2FA

not attested not anchored not stored refs pending

Homogenization of Maxwell's equations in periodic composites

John C. Schotland, Vadim A. Markel

arxiv:1010.6246 v3 · 2010-10-29 · physics.optics · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMZTLKKXRH5L3IVZ4EMYLLV2FA}

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	2026-05-18T02:23:38.225950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b3335a95789fabda2b9e11985aeba281c55bb29aafc186ffa9f950e90c810cf

Aliases

arxiv: 1010.6246 · arxiv_version: 1010.6246v3 · doi: 10.48550/arxiv.1010.6246 · pith_short_12: HMZTLKKXRH5L · pith_short_16: HMZTLKKXRH5L3IVZ · pith_short_8: HMZTLKKX

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/HMZTLKKXRH5L3IVZ4EMYLLV2FA \
  | 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: 3b3335a95789fabda2b9e11985aeba281c55bb29aafc186ffa9f950e90c810cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7043c2340cfa6f1ac95bd225df874d6765a6667a5bd9aede764c970408f8485a",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-10-29T15:23:08Z",
    "title_canon_sha256": "ede4c4309612f523f15cf8c8c98b1a792ff2ef480eab6f6733c2e3b7d5db74dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6246",
    "kind": "arxiv",
    "version": 3
  }
}