Pith Number

pith:H3EV2GIA

pith:2015:H3EV2GIANC73OIFFG6QBFL4EDC

not attested not anchored not stored refs pending

Closed-form expressions for nonparaxial accelerating beams with pre-engineered trajectories

Nikolaos K. Efremidis, Raluca-Sorina Penciu, Vassilis Paltoglou

arxiv:1503.04605 v1 · 2015-03-16 · 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{H3EV2GIANC73OIFFG6QBFL4EDC}

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	2026-05-18T01:40:50.597357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec95d190068bfb720a537a012af8418b8e565050d4dff8babdac18fb4865996

Aliases

arxiv: 1503.04605 · arxiv_version: 1503.04605v1 · doi: 10.48550/arxiv.1503.04605 · pith_short_12: H3EV2GIANC73 · pith_short_16: H3EV2GIANC73OIFF · pith_short_8: H3EV2GIA

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/H3EV2GIANC73OIFFG6QBFL4EDC \
  | 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: 3ec95d190068bfb720a537a012af8418b8e565050d4dff8babdac18fb4865996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd4ec95086b8b5f00c3556c6bb07ea4f94ec0360b59001fdf87f69281649b91c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-03-16T11:10:41Z",
    "title_canon_sha256": "45592d38bfb0d3620d6c9545d48219dee990a191a1dd136dd9c9ee419058f112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04605",
    "kind": "arxiv",
    "version": 1
  }
}