Pith Number

pith:UHWYPLG2

pith:2014:UHWYPLG2L6AS6EUW3YHLKB3IYW

not attested not anchored not stored refs pending

Self-Fourier transform and self-Fourier beams due to parabolic potential

Milan S. Petrovi\'c, Milivoj R. Beli\'c, Weiping Zhong, Xing Liu, Yanpeng Zhang, Yiqi Zhang

arxiv:1412.6648 v2 · 2014-12-20 · 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{UHWYPLG2L6AS6EUW3YHLKB3IYW}

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	2026-05-18T01:29:13.394155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ed87acda5f812f1296de0eb50768c5a22cffd0e550eeef7de4fddca77e7c28

Aliases

arxiv: 1412.6648 · arxiv_version: 1412.6648v2 · doi: 10.48550/arxiv.1412.6648 · pith_short_12: UHWYPLG2L6AS · pith_short_16: UHWYPLG2L6AS6EUW · pith_short_8: UHWYPLG2

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/UHWYPLG2L6AS6EUW3YHLKB3IYW \
  | 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: a1ed87acda5f812f1296de0eb50768c5a22cffd0e550eeef7de4fddca77e7c28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "734a6197a682160cb7eac1d207491db15460918d0508b8ba39d75b30d1138f68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-12-20T12:46:02Z",
    "title_canon_sha256": "fbc0ad40e36895e39d15b4cd75fd0b7f86c8defa53b7fa16ab99744abd0f0fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6648",
    "kind": "arxiv",
    "version": 2
  }
}