Pith Number

pith:ZE7J64BW

pith:2009:ZE7J64BWRAKMVPSLXWGHQRR4PT

not attested not anchored not stored refs pending

Calculating Nonlocal Optical Properties of Structures with Arbitrary Shape

George C. Schatz, Jeffrey M. McMahon, Stephen K. Gray

arxiv:0912.4746 v2 · 2009-12-23 · physics.optics · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZE7J64BWRAKMVPSLXWGHQRR4PT}

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	2026-05-18T03:23:49.741354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c93e9f70368814cabe4bbd8c78463c7cf2fe13412e9c83df4c847d75d0e18bb8

Aliases

arxiv: 0912.4746 · arxiv_version: 0912.4746v2 · doi: 10.48550/arxiv.0912.4746 · pith_short_12: ZE7J64BWRAKM · pith_short_16: ZE7J64BWRAKMVPSL · pith_short_8: ZE7J64BW

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/ZE7J64BWRAKMVPSLXWGHQRR4PT \
  | 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: c93e9f70368814cabe4bbd8c78463c7cf2fe13412e9c83df4c847d75d0e18bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f55f7dfa4a9f12b42e96f9616017c795d98e14809d4ec371d7d428a6d01b631",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-12-23T21:59:13Z",
    "title_canon_sha256": "c1f90ec4ead23888f1ae5bba63e12c0be7476bc6ff99ab0526855f51aacfd351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4746",
    "kind": "arxiv",
    "version": 2
  }
}