Pith Number

pith:ZHAO4FIK

pith:2013:ZHAO4FIKS65WOPDW3J3YHOVMOT

not attested not anchored not stored refs pending

Inverse design of cooperative electromagnetic interactions

Jean-Paul Hugonin, Mathieu Langlais, Mondher Besbes, Philippe Ben-Abdallah

arxiv:1311.2764 v1 · 2013-11-12 · 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{ZHAO4FIKS65WOPDW3J3YHOVMOT}

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	2026-05-18T01:46:31.986127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c0ee150a97bb673c76da7783baac74c63edf90a1c74ed07a6e0a4188c1d821

Aliases

arxiv: 1311.2764 · arxiv_version: 1311.2764v1 · doi: 10.48550/arxiv.1311.2764 · pith_short_12: ZHAO4FIKS65W · pith_short_16: ZHAO4FIKS65WOPDW · pith_short_8: ZHAO4FIK

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/ZHAO4FIKS65WOPDW3J3YHOVMOT \
  | 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: c9c0ee150a97bb673c76da7783baac74c63edf90a1c74ed07a6e0a4188c1d821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af4e482242e7783de3b61585eb9a13807bff6dd14e4dd02e2ea1358d4689ebe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-11-12T12:56:21Z",
    "title_canon_sha256": "b02c7e5442e89870b9a88a3ba5a3eef7700375e27663ee24ca6a2a8373d59345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2764",
    "kind": "arxiv",
    "version": 1
  }
}