Pith Number

pith:VDMT4YKB

pith:2010:VDMT4YKB3NR6GBTEFANOOYHGVM

not attested not anchored not stored refs pending

Multi-scale Optics for Enhanced Light Collection from a Point Source

Caleb Knoernschild, C.S. Pai, Harley Hayden, Jungsang Kim, Justin Migacz, Peter Maunz, Rachel Noek, Taehyun Kim, True Merrill

arxiv:1006.2188 v1 · 2010-06-11 · 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{VDMT4YKB3NR6GBTEFANOOYHGVM}

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	2026-05-18T02:06:54.801721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d93e6141db63e30664281ae760e6ab1c6d0878dd80f2c5ccba777eaae1c28b

Aliases

arxiv: 1006.2188 · arxiv_version: 1006.2188v1 · doi: 10.48550/arxiv.1006.2188 · pith_short_12: VDMT4YKB3NR6 · pith_short_16: VDMT4YKB3NR6GBTE · pith_short_8: VDMT4YKB

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/VDMT4YKB3NR6GBTEFANOOYHGVM \
  | 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: a8d93e6141db63e30664281ae760e6ab1c6d0878dd80f2c5ccba777eaae1c28b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b07e7c093e5223981ee535a06e6014daef18a4fdef1bd76138ebe0a9f8c304",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-06-11T02:52:41Z",
    "title_canon_sha256": "8da932e79f9d2aa70f1e74d800012e3f09785e7a3d1809950b875f5782115a76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2188",
    "kind": "arxiv",
    "version": 1
  }
}