Pith Number

pith:XFZE3HDG

pith:2018:XFZE3HDG4DJ6WLBAOAKONQIXSX

not attested not anchored not stored refs pending

Modal expansions in periodic photonic systems with material loss and dispersion

Christian Wolff, Kurt Busch, N. Asger Mortensen

arxiv:1801.01791 v3 · 2018-01-05 · 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{XFZE3HDG4DJ6WLBAOAKONQIXSX}

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	2026-05-18T00:20:51.811472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9724d9c66e0d3eb2c207014e6c11795cbcfa4cea1002c48e272ec6f3fb95b4c

Aliases

arxiv: 1801.01791 · arxiv_version: 1801.01791v3 · doi: 10.48550/arxiv.1801.01791 · pith_short_12: XFZE3HDG4DJ6 · pith_short_16: XFZE3HDG4DJ6WLBA · pith_short_8: XFZE3HDG

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/XFZE3HDG4DJ6WLBAOAKONQIXSX \
  | 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: b9724d9c66e0d3eb2c207014e6c11795cbcfa4cea1002c48e272ec6f3fb95b4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7053156f2087db7a2ae3c590642d2d1a780fbab6bf6c6103daabcd5cd63ab873",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-01-05T15:24:31Z",
    "title_canon_sha256": "72aafd7c424afa9671718a36bd982a23b37e91f8f83ea84faad3820f8c7e83bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01791",
    "kind": "arxiv",
    "version": 3
  }
}