Pith Number

pith:JCDZH5IZ

pith:2012:JCDZH5IZMTU74ISJ3YZCYLSERG

not attested not anchored not stored refs pending

Demonstration of images with negative group velocities

Paul D. Lett, Ryan T. Glasser, Ulrich Vogl

arxiv:1206.0762 v1 · 2012-06-04 · quant-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCDZH5IZMTU74ISJ3YZCYLSERG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:54:16.414130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

488793f51964e9fe2249de322c2e44899af2ed05be71f6b0d526b7f3cf3e3a2e

Aliases

arxiv: 1206.0762 · arxiv_version: 1206.0762v1 · doi: 10.48550/arxiv.1206.0762 · pith_short_12: JCDZH5IZMTU7 · pith_short_16: JCDZH5IZMTU74ISJ · pith_short_8: JCDZH5IZ

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/JCDZH5IZMTU74ISJ3YZCYLSERG \
  | 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: 488793f51964e9fe2249de322c2e44899af2ed05be71f6b0d526b7f3cf3e3a2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485b985eacb48e477a08057ce6ceeba33958182a5bd8422a327a85ab1fbd0b29",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-06-04T20:54:55Z",
    "title_canon_sha256": "f1b935885002445f46efa72bd10d3e3c3429b2a911eac364c857f6ad1e6d894e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0762",
    "kind": "arxiv",
    "version": 1
  }
}