Pith Number

pith:VNUQM6AN

pith:2015:VNUQM6ANQ6JSGGVBL26NGI3K4X

not attested not anchored not stored refs pending

Controlling transmission eigenchannels in random media by edge reflection

Chushun Tian, Liyi Zhao, Valentin Freilikher, Yury P. Bliokh

arxiv:1506.03685 v1 · 2015-06-11 · 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{VNUQM6ANQ6JSGGVBL26NGI3K4X}

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	2026-05-18T01:31:38.482676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab6906780d8793231aa15ebcd3236ae5e241744b1a75fba63426ec3216c37bcd

Aliases

arxiv: 1506.03685 · arxiv_version: 1506.03685v1 · doi: 10.48550/arxiv.1506.03685 · pith_short_12: VNUQM6ANQ6JS · pith_short_16: VNUQM6ANQ6JSGGVB · pith_short_8: VNUQM6AN

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/VNUQM6ANQ6JSGGVBL26NGI3K4X \
  | 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: ab6906780d8793231aa15ebcd3236ae5e241744b1a75fba63426ec3216c37bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53bb3ac3e98daac0ad9d3a8c07069e3cd687d5b238925212432745747e8ec9d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-06-11T14:23:13Z",
    "title_canon_sha256": "d4224da1cb3aec73ffc5625c22b14edb117e38ced32887bf76482326e8f632e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03685",
    "kind": "arxiv",
    "version": 1
  }
}