Pith Number

pith:A6USVMF4

pith:2021:A6USVMF4BKFUUUUKBCWFHQOZYM

not attested not anchored not stored refs pending

Statistical mechanics of beam self-cleaning in GRIN multimode optical fibers

D.S. Kharenko, E.V. Podivilov, F. Mangini, M. Ferraro, M. Gervaziev, M. Zitelli, S.A. Babin, S. Wabnitz, V. Couderc, Y. Sun

arxiv:2111.08063 v1 · 2021-11-15 · 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{A6USVMF4BKFUUUUKBCWFHQOZYM}

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	2026-07-05T04:11:51.442469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07a92ab0bc0a8b4a528a08ac53c1d9c30b4cf9e3c09e3b72e01e09a16c89638a

Aliases

arxiv: 2111.08063 · arxiv_version: 2111.08063v1 · doi: 10.48550/arxiv.2111.08063 · pith_short_12: A6USVMF4BKFU · pith_short_16: A6USVMF4BKFUUUUK · pith_short_8: A6USVMF4

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/A6USVMF4BKFUUUUKBCWFHQOZYM \
  | 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: 07a92ab0bc0a8b4a528a08ac53c1d9c30b4cf9e3c09e3b72e01e09a16c89638a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3240fd9f391c61c2feb3d40a225588d934b563d72e8c1872c79a1271e02f6f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-11-15T19:49:33Z",
    "title_canon_sha256": "63ac837a41f63f984f076060f63665bf4c91bd75c0cbb44ddac20343b8f1411a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.08063",
    "kind": "arxiv",
    "version": 1
  }
}