Pith Number

pith:ALCQQP3B

pith:2015:ALCQQP3BXPHKNIYGFEPXFPGGOU

not attested not anchored not stored refs pending

Fundamental Limits for Light Absorption and Scattering Induced by Cooperative Electromagnetic Coupling

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

arxiv:1502.02409 v3 · 2015-02-09 · 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{ALCQQP3BXPHKNIYGFEPXFPGGOU}

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	2026-05-18T01:59:57.790994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02c5083f61bbcea6a306291f72bcc675039774ce8438aaff40b35ec0c8143e54

Aliases

arxiv: 1502.02409 · arxiv_version: 1502.02409v3 · doi: 10.48550/arxiv.1502.02409 · pith_short_12: ALCQQP3BXPHK · pith_short_16: ALCQQP3BXPHKNIYG · pith_short_8: ALCQQP3B

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/ALCQQP3BXPHKNIYGFEPXFPGGOU \
  | 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: 02c5083f61bbcea6a306291f72bcc675039774ce8438aaff40b35ec0c8143e54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07fd99700d6dc1d2aa3a280b4ca3c4201ec48f63e220221d12001f48616e0328",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-02-09T09:52:28Z",
    "title_canon_sha256": "ca979b4dc4d2b96217447845638999f55105cf29e808416f50974900993e2ec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02409",
    "kind": "arxiv",
    "version": 3
  }
}