Pith Number

pith:7CJR5INH

pith:2015:7CJR5INHKF7D7UQRDLZJPTPMPG

not attested not anchored not stored refs pending

Nonlinear Negative Refraction by Difference Frequency Generation

Dongyi Shen, Jianjun Cao, Wenjie Wan, Yaming Feng

arxiv:1512.08615 v1 · 2015-12-29 · 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{7CJR5INHKF7D7UQRDLZJPTPMPG}

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	2026-05-18T01:14:01.220575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8931ea1a7517e3fd2111af297cdec799f839cc004c2b69d73d26549731569e4

Aliases

arxiv: 1512.08615 · arxiv_version: 1512.08615v1 · doi: 10.48550/arxiv.1512.08615 · pith_short_12: 7CJR5INHKF7D · pith_short_16: 7CJR5INHKF7D7UQR · pith_short_8: 7CJR5INH

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/7CJR5INHKF7D7UQRDLZJPTPMPG \
  | 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: f8931ea1a7517e3fd2111af297cdec799f839cc004c2b69d73d26549731569e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b249b91db34eb74b81c1c3636b7d76c5056e0142ffae58c3800577955784cd3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-12-29T08:17:30Z",
    "title_canon_sha256": "053e3a9c342b96042e7df17cd302025bc04365df031a739e22899f3bb4756eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08615",
    "kind": "arxiv",
    "version": 1
  }
}