Pith Number

pith:Z3TWVDGF

pith:2023:Z3TWVDGFBGOPS2AE7P2AUCAR7C

not attested not anchored not stored refs pending

Determination of the Zak phase of one-dimensional photonic systems via far-field diffraction

Chao Liu, Haoran Wang, H.C. Ong

arxiv:2301.03789 v3 · 2023-01-10 · 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{Z3TWVDGFBGOPS2AE7P2AUCAR7C}

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	2026-07-05T06:07:35.893275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cee76a8cc5099cf96804fbf40a0811f89e47488475ccaaae42ad16996553f77d

Aliases

arxiv: 2301.03789 · arxiv_version: 2301.03789v3 · doi: 10.48550/arxiv.2301.03789 · pith_short_12: Z3TWVDGFBGOP · pith_short_16: Z3TWVDGFBGOPS2AE · pith_short_8: Z3TWVDGF

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/Z3TWVDGFBGOPS2AE7P2AUCAR7C \
  | 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: cee76a8cc5099cf96804fbf40a0811f89e47488475ccaaae42ad16996553f77d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e212327a60d05b37dbd137c527daea3e2d076b4973de7a31217deb17cceb9d05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2023-01-10T05:21:37Z",
    "title_canon_sha256": "7de8a6d9e21cf4d0a7f6f30d64e5f9b5dda5fa3be1b3b2ddcc0dc35e3212e9cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.03789",
    "kind": "arxiv",
    "version": 3
  }
}