Pith Number

pith:WQKHIC5A

pith:2020:WQKHIC5AIBH6HSGSXB7JU77NHJ

not attested not anchored not stored refs pending

Arbitrary linear transformations for photons in the frequency synthetic dimension

Avik Dutt, Ian A. D. Williamson, Momchil Minkov, Shanhui Fan, Siddharth Buddhiraju

arxiv:2009.02008 v1 · 2020-09-04 · 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{WQKHIC5AIBH6HSGSXB7JU77NHJ}

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	2026-07-05T02:39:04.760323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b414740ba0404fe3c8d2b87e9a7fed3a5097b0705c7d32c71e0ffd5a02f578b5

Aliases

arxiv: 2009.02008 · arxiv_version: 2009.02008v1 · doi: 10.48550/arxiv.2009.02008 · pith_short_12: WQKHIC5AIBH6 · pith_short_16: WQKHIC5AIBH6HSGS · pith_short_8: WQKHIC5A

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/WQKHIC5AIBH6HSGSXB7JU77NHJ \
  | 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: b414740ba0404fe3c8d2b87e9a7fed3a5097b0705c7d32c71e0ffd5a02f578b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2521bb4b0922777c8bd8b89c15899836819700213738e1b7f2149372f417b44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2020-09-04T04:43:59Z",
    "title_canon_sha256": "289ff1158b3e9c6e95ac94342adb8615c236666d4dc0b73c898e570dede99fc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.02008",
    "kind": "arxiv",
    "version": 1
  }
}