Pith Number

pith:B7CR64EM

pith:2013:B7CR64EMDMCGNHCWT7NKOOPGYW

not attested not anchored not stored refs pending

General laws of reflection and refraction for subwavelength phase grating

Dahe Liu, Lu Han, Yanyan Sun, Zhaona Wang

arxiv:1312.3855 v1 · 2013-12-13 · 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{B7CR64EMDMCGNHCWT7NKOOPGYW}

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	2026-05-18T03:04:47.376346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc51f708c1b04669c569fdaa739e6c5b55ea302701cdf2fb76c6cf74ae74e98

Aliases

arxiv: 1312.3855 · arxiv_version: 1312.3855v1 · doi: 10.48550/arxiv.1312.3855 · pith_short_12: B7CR64EMDMCG · pith_short_16: B7CR64EMDMCGNHCW · pith_short_8: B7CR64EM

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/B7CR64EMDMCGNHCWT7NKOOPGYW \
  | 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: 0fc51f708c1b04669c569fdaa739e6c5b55ea302701cdf2fb76c6cf74ae74e98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5206d80fd379402959e082456131ed10ebd878c5a5bfb541f38723da940afda9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-12-13T16:16:01Z",
    "title_canon_sha256": "fbd0e0ab60189b0c898f266849b60738f0359229336a48a83c86b6fe5273bb00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3855",
    "kind": "arxiv",
    "version": 1
  }
}