Pith Number

pith:VUXNV2F3

pith:2015:VUXNV2F3SMF22LGYNPWKGLOCGT

not attested not anchored not stored refs pending

Point Interactions, Metamaterials, and PT-Symmetry

Ali Mostafazadeh

arxiv:1508.01699 v3 · 2015-08-07 · physics.optics · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUXNV2F3SMF22LGYNPWKGLOCGT}

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	2026-05-18T01:17:05.252127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad2edae8bb930bad2cd86beca32dc234f15c8b1aa12162c73ec5738e3164d3e6

Aliases

arxiv: 1508.01699 · arxiv_version: 1508.01699v3 · doi: 10.48550/arxiv.1508.01699 · pith_short_12: VUXNV2F3SMF2 · pith_short_16: VUXNV2F3SMF22LGY · pith_short_8: VUXNV2F3

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/VUXNV2F3SMF22LGYNPWKGLOCGT \
  | 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: ad2edae8bb930bad2cd86beca32dc234f15c8b1aa12162c73ec5738e3164d3e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a2695e76f2eeb62a8514d8346b27e65242ea34e1b9a588a0fd8183119b86eb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-08-07T14:15:20Z",
    "title_canon_sha256": "bc646836a287328ce31b1a2276d7dd7aa165041b14f049a88d5e9fff929a7e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01699",
    "kind": "arxiv",
    "version": 3
  }
}