Pith Number

pith:ZAVPMPO3

pith:2019:ZAVPMPO3BDWRABPCAIXLXG4FBP

not attested not anchored not stored refs pending

Orbital Angular Momentum (OAM) Mode Mixing in a Bent Step Index Fiber in Perturbation Theory

Ramesh Bhandari

arxiv:1907.04664 v1 · 2019-07-09 · physics.optics · physics.app-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAVPMPO3BDWRABPCAIXLXG4FBP}

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	2026-05-17T23:40:57.167553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c82af63ddb08ed1005e2022ebb9b850bf156202ab932ab9538f5acea2bd616ac

Aliases

arxiv: 1907.04664 · arxiv_version: 1907.04664v1 · doi: 10.48550/arxiv.1907.04664 · pith_short_12: ZAVPMPO3BDWR · pith_short_16: ZAVPMPO3BDWRABPC · pith_short_8: ZAVPMPO3

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/ZAVPMPO3BDWRABPCAIXLXG4FBP \
  | 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: c82af63ddb08ed1005e2022ebb9b850bf156202ab932ab9538f5acea2bd616ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ddd4cb729dfec9a441a9909a1339f540e421079d1a67bc74c547f18f47ed63d",
    "cross_cats_sorted": [
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-07-09T16:31:15Z",
    "title_canon_sha256": "6b834548ee95b01854a64bc8c260c50773c085b929b41e2038f6d889f9f65667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04664",
    "kind": "arxiv",
    "version": 1
  }
}