Pith Number

pith:7WWHTODH

pith:2011:7WWHTODHCCP4IKIBLF4JHAZ7JL

not attested not anchored not stored refs pending

Negative group velocity and three-wave mixing in dielectric crystals

Alexander K. Popov, Mikhail I. Shalaev, Sergey A. Myslivets, Vitaly V. Slabko

arxiv:1104.0891 v1 · 2011-04-05 · 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{7WWHTODHCCP4IKIBLF4JHAZ7JL}

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	2026-05-18T03:59:01.558110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdac79b867109fc42901597893833f4ac51e5235167e996f9dfa92a0a2195f0e

Aliases

arxiv: 1104.0891 · arxiv_version: 1104.0891v1 · doi: 10.48550/arxiv.1104.0891 · pith_short_12: 7WWHTODHCCP4 · pith_short_16: 7WWHTODHCCP4IKIB · pith_short_8: 7WWHTODH

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/7WWHTODHCCP4IKIBLF4JHAZ7JL \
  | 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: fdac79b867109fc42901597893833f4ac51e5235167e996f9dfa92a0a2195f0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af94a594e0d8595db630c54391661dcd0c33176296b03ba6cd5b62d7e4703147",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-04-05T17:00:00Z",
    "title_canon_sha256": "05726b63aa899913669e1d1804211c999d5cf53bcb59e6d520d2a56106086b89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0891",
    "kind": "arxiv",
    "version": 1
  }
}