Pith Number

pith:FCTLO3MA

pith:2026:FCTLO3MAPYRGZ74YAEORCPL4K2

not attested not anchored not stored refs pending

High-NA vectorial hologram optimization

Fiona Hellstern, Michael Wischert, Paul Uerlings, Ralf Klemt, Stephan Welte, Tilman Pfau

arxiv:2607.29505 v1 · 2026-07-31 · physics.optics · cond-mat.quant-gas · physics.atom-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{FCTLO3MAPYRGZ74YAEORCPL4K2}

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	2026-08-03T01:36:33.165590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a6b76d807e226cff98011d113d7c56815a5b11821b9fd33aa0a8396f0b3e41

Aliases

arxiv: 2607.29505 · arxiv_version: 2607.29505v1 · doi: 10.48550/arxiv.2607.29505 · pith_short_12: FCTLO3MAPYRG · pith_short_16: FCTLO3MAPYRGZ74Y · pith_short_8: FCTLO3MA

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/FCTLO3MAPYRGZ74YAEORCPL4K2 \
  | 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: 28a6b76d807e226cff98011d113d7c56815a5b11821b9fd33aa0a8396f0b3e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "286ec813d4376127cfe33b163011748761f6228db215dc811dec66ae56d0ea32",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-07-31T15:09:26Z",
    "title_canon_sha256": "955a674c1417a1c807c109fd0b7a04e3b241b699b4a7111adefcb1d8dc6bfc5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29505",
    "kind": "arxiv",
    "version": 1
  }
}