Pith Number

pith:XWTC6QBC

pith:2011:XWTC6QBC2LX4HPI5Q4T5MCSDP4

not attested not anchored not stored refs pending

Mode expansions in the quantum electrodynamics of photonic media with disorder

M. Wubs, N. A. Mortensen

arxiv:1101.5556 v2 · 2011-01-28 · quant-ph · 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{XWTC6QBC2LX4HPI5Q4T5MCSDP4}

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	2026-05-18T03:56:08.666715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bda62f4022d2efc3bd1d8727d60a437f08c244d49e84b3fb5963cd1214c6a361

Aliases

arxiv: 1101.5556 · arxiv_version: 1101.5556v2 · doi: 10.48550/arxiv.1101.5556 · pith_short_12: XWTC6QBC2LX4 · pith_short_16: XWTC6QBC2LX4HPI5 · pith_short_8: XWTC6QBC

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/XWTC6QBC2LX4HPI5Q4T5MCSDP4 \
  | 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: bda62f4022d2efc3bd1d8727d60a437f08c244d49e84b3fb5963cd1214c6a361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e630a61b9fc4d2ac23fe4f66dcd6eeb941c45e3c1d42cc05a2487cdfb64ba933",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-01-28T15:42:42Z",
    "title_canon_sha256": "8856f38663dbb386406506d37186cf68eee334e09f79ad0818de870f9417d703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5556",
    "kind": "arxiv",
    "version": 2
  }
}