Pith Number

pith:VMD72LFT

pith:2010:VMD72LFTMJU7AJ6QXFZOVUY6Y6

not attested not anchored not stored refs pending

Optical Quadratic Measure Eigenmodes

Joerg Baumgartl, Kishan Dholakia, Michael Mazilu, Sebastian Kosmeier

arxiv:1007.2033 v1 · 2010-07-13 · math-ph · math.MP · 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{VMD72LFTMJU7AJ6QXFZOVUY6Y6}

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	2026-05-18T04:31:52.305435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab07fd2cb36269f027d0b972ead31ec785282ac19338ed1a1e6cafd07d520021

Aliases

arxiv: 1007.2033 · arxiv_version: 1007.2033v1 · doi: 10.48550/arxiv.1007.2033 · pith_short_12: VMD72LFTMJU7 · pith_short_16: VMD72LFTMJU7AJ6Q · pith_short_8: VMD72LFT

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/VMD72LFTMJU7AJ6QXFZOVUY6Y6 \
  | 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: ab07fd2cb36269f027d0b972ead31ec785282ac19338ed1a1e6cafd07d520021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c5b7278bbffc3cd93af852d966612c73e00d9861c9c0d375255085f3482648",
    "cross_cats_sorted": [
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-13T05:09:32Z",
    "title_canon_sha256": "a415259be1ae329953f8db3dfa605d20ad1e8f40d3db5633fcff6bdf0a29a0b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2033",
    "kind": "arxiv",
    "version": 1
  }
}