Pith. sign in
Pith Number

pith:DQPHIM54

pith:2015:DQPHIM54FT3X4VDARXEVVUT5F7
not attested not anchored not stored refs pending

Self-healing in scaled propagation invariant beams

Dilia Aguirre-Olivas, Gabriel Mellado-Villase\~nor, Sabino Ch\'avez-Cerda, Victor Arriz\'on

arxiv:1503.03125 v1 · 2015-03-10 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DQPHIM54FT3X4VDARXEVVUT5F7}

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 2026-05-18T02:25:04.239567Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1c1e7433bc2cf77e54608dc95ad27d2fd1671f1464113c054a67f3f71ec7fa42

Aliases

arxiv: 1503.03125 · arxiv_version: 1503.03125v1 · doi: 10.48550/arxiv.1503.03125 · pith_short_12: DQPHIM54FT3X · pith_short_16: DQPHIM54FT3X4VDA · pith_short_8: DQPHIM54
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DQPHIM54FT3X4VDARXEVVUT5F7 \
  | 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: 1c1e7433bc2cf77e54608dc95ad27d2fd1671f1464113c054a67f3f71ec7fa42
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d74faede217a9fabf2b23c8883982a67c608df1fbb9f40cd4bf77e2f7d11a5d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-03-10T23:45:54Z",
    "title_canon_sha256": "f173f1890227bf89dab2c5f22d680bb5e2d3696f7c0f9231425df8e86213b7b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03125",
    "kind": "arxiv",
    "version": 1
  }
}