Pith Number

pith:NGE4JOOE

pith:2016:NGE4JOOEBA27QWE5GP2SVF2NTH

not attested not anchored not stored refs pending

Principal modes in multimode fibers: exploring the crossover from weak to strong mode coupling

Brandon Redding, Hui Cao, Philipp Ambichl, Stefan Rotter, Wen Xiong, Yaron Bromberg

arxiv:1609.02516 v1 · 2016-09-08 · 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{NGE4JOOEBA27QWE5GP2SVF2NTH}

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	2026-05-18T00:49:36.579277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6989c4b9c40835f8589d33f52a974d99e300284cd8d2a8e9674cfe2541f6ea14

Aliases

arxiv: 1609.02516 · arxiv_version: 1609.02516v1 · doi: 10.48550/arxiv.1609.02516 · pith_short_12: NGE4JOOEBA27 · pith_short_16: NGE4JOOEBA27QWE5 · pith_short_8: NGE4JOOE

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/NGE4JOOEBA27QWE5GP2SVF2NTH \
  | 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: 6989c4b9c40835f8589d33f52a974d99e300284cd8d2a8e9674cfe2541f6ea14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d98c38acdd0478a1265d13ea44b141ab4e8b055433a6614c22c919c077901f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-09-08T17:56:03Z",
    "title_canon_sha256": "c0401f305b701507261764dfa0380a22129be250f3ce82af435c4f0804de2f38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02516",
    "kind": "arxiv",
    "version": 1
  }
}