Pith Number

pith:TGSW7ETG

pith:2021:TGSW7ETGHLCCD36HOGXSYFGIPU

not attested not anchored not stored refs pending

Multipole Engineering of Attractive-Repulsive and Bending Optical Forces

Alexander A. Pavlov, Alexander S. Shalin, Denis A. Kislov, Dmitrii N. Redka, Egor A. Gurvitz, Manuel I. Marques, Pavel Ginzburg

arxiv:2102.09509 v1 · 2021-02-18 · 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{TGSW7ETGHLCCD36HOGXSYFGIPU}

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	2026-07-05T02:16:23.694445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a56f92663ac421efc771af2c14c87d3f91c19dc5589e4710090eeed2147aac

Aliases

arxiv: 2102.09509 · arxiv_version: 2102.09509v1 · doi: 10.48550/arxiv.2102.09509 · pith_short_12: TGSW7ETGHLCC · pith_short_16: TGSW7ETGHLCCD36H · pith_short_8: TGSW7ETG

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/TGSW7ETGHLCCD36HOGXSYFGIPU \
  | 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: 99a56f92663ac421efc771af2c14c87d3f91c19dc5589e4710090eeed2147aac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ad19c10a7348901dab9fcf8e74d65bb0b93a6dfe95983723fce4ad907702d7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-02-18T17:49:53Z",
    "title_canon_sha256": "aa5feba5a0ec2594815d221c2f33e306901cf5cace1adccb02e731f76af44f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09509",
    "kind": "arxiv",
    "version": 1
  }
}