Pith Number

pith:3QPAJ4QL

pith:2015:3QPAJ4QLH7V7E4GZ2YLGIGYCHD

not attested not anchored not stored refs pending

On Small Beams with Large Topological Charge

Anton Zeilinger, Mario Krenn, Nora Tischler

arxiv:1511.01135 v1 · 2015-11-03 · physics.optics · 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{3QPAJ4QLH7V7E4GZ2YLGIGYCHD}

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	2026-05-18T01:19:38.413163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc1e04f20b3febf270d9d616641b0238fd4749770be0f2abc9f5ca93e4d0bf9e

Aliases

arxiv: 1511.01135 · arxiv_version: 1511.01135v1 · doi: 10.48550/arxiv.1511.01135 · pith_short_12: 3QPAJ4QLH7V7 · pith_short_16: 3QPAJ4QLH7V7E4GZ · pith_short_8: 3QPAJ4QL

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/3QPAJ4QLH7V7E4GZ2YLGIGYCHD \
  | 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: dc1e04f20b3febf270d9d616641b0238fd4749770be0f2abc9f5ca93e4d0bf9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b033454d58a9fcabc48607209ea19c09a7b03110f45163b2c0585eca76f812c",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-11-03T22:07:04Z",
    "title_canon_sha256": "9a1f9ecd980a628bf65a9c8e2d4d5ba12d0fb92b27064bd7a3f6d2f96f4b7d0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01135",
    "kind": "arxiv",
    "version": 1
  }
}