Pith Number

pith:7SS6VURC

pith:2005:7SS6VURCKA7DAS4D67QRETNIW4

not attested not anchored not stored refs pending

On the Bergman-Milton bounds for the homogenization of dielectric composite materials

Akhlesh Lakhtakia (Pennsylvania State University), Andrew J. Duncan (University of Edinburgh), Tom G. Mackay (University of Edinburgh)

arxiv:physics/0512008 v2 · 2005-12-01 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SS6VURCKA7DAS4D67QRETNIW4}

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	2026-05-18T01:38:07.375826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca5ead222503e304b83f7e1124da8b71bf2afe9836e35cd5a479b0bad05f4d9

Aliases

arxiv: physics/0512008 · arxiv_version: physics/0512008v2 · doi: 10.48550/arxiv.physics/0512008 · pith_short_12: 7SS6VURCKA7D · pith_short_16: 7SS6VURCKA7DAS4D · pith_short_8: 7SS6VURC

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/7SS6VURCKA7DAS4D67QRETNIW4 \
  | 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: fca5ead222503e304b83f7e1124da8b71bf2afe9836e35cd5a479b0bad05f4d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b7037f0237975c92e3482c7a2f8f3ad85c008635e285d5a1f33152a25f9dfef",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2005-12-01T16:52:05Z",
    "title_canon_sha256": "eb8665ebf493e902da3794fa2fe1846a79f257f2af4d7813d51efa511274f5b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0512008",
    "kind": "arxiv",
    "version": 2
  }
}