Pith Number

pith:35ODZ6VZ

pith:2016:35ODZ6VZJO66NX7F6UTVNQPLBO

not attested not anchored not stored refs pending

Reciprocity breaking during nonlinear propagation of adapted beams through random media

B. Hafizi, G. DiComo, J. Penano, J.P. Palastro, L.A. Johnson, M.H. Helle, W. Nelson

arxiv:1603.07146 v1 · 2016-03-23 · 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{35ODZ6VZJO66NX7F6UTVNQPLBO}

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	2026-05-18T01:08:17.938653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df5c3cfab94bbde6dfe5f52756c1eb0b9ccb24704d48ea61ecb51e84764c363a

Aliases

arxiv: 1603.07146 · arxiv_version: 1603.07146v1 · doi: 10.48550/arxiv.1603.07146 · pith_short_12: 35ODZ6VZJO66 · pith_short_16: 35ODZ6VZJO66NX7F · pith_short_8: 35ODZ6VZ

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/35ODZ6VZJO66NX7F6UTVNQPLBO \
  | 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: df5c3cfab94bbde6dfe5f52756c1eb0b9ccb24704d48ea61ecb51e84764c363a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd4267b964f5e291de47a4700e15cfa2ab6780d7beddf785a8bef1f8680143e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-03-23T11:41:41Z",
    "title_canon_sha256": "79a8e48ce123c161b9c64fb03cf784dd7b3e278ee7019addb78d02f95cbf2627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07146",
    "kind": "arxiv",
    "version": 1
  }
}