Pith Number

pith:XFQYX5DC

pith:2010:XFQYX5DCOMMRNDHB2H5X7IIEM5

not attested not anchored not stored refs pending

Optical Eigenmodes; Exploiting the quadratic nature of the energy flux and of scattering interactions

J. Baumgartl, K. Dholakia, M. Mazilu, S. Kosmeier

arxiv:1010.3491 v2 · 2010-10-18 · physics.optics · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFQYX5DCOMMRNDHB2H5X7IIEM5}

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	2026-05-18T02:23:45.454037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9618bf4627319168ce1d1fb7fa104674ff9841934123a29110005684f77ae19

Aliases

arxiv: 1010.3491 · arxiv_version: 1010.3491v2 · doi: 10.48550/arxiv.1010.3491 · pith_short_12: XFQYX5DCOMMR · pith_short_16: XFQYX5DCOMMRNDHB · pith_short_8: XFQYX5DC

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/XFQYX5DCOMMRNDHB2H5X7IIEM5 \
  | 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: b9618bf4627319168ce1d1fb7fa104674ff9841934123a29110005684f77ae19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11669217a07f3a46cf4009a34fea15b03a3d800f2a6a727f172b7c5540dcc995",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-10-18T06:18:11Z",
    "title_canon_sha256": "cadec05c4c10872121e7f7ba9f02d3b42fac213f05d4a5f57372cc1833c03717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3491",
    "kind": "arxiv",
    "version": 2
  }
}