Pith Number

pith:Q4JUJF4U

pith:2026:Q4JUJF4UJRFLBXDIBBVUBNXCSF

not attested not anchored not stored refs pending

Optically Incoherent Photonic Mutual Information

Alejandro W. Rodriguez, Alessio Amaolo, Francis J. Chen, Pengning Chao, Sean Molesky, Zin Lin

arxiv:2607.13153 v1 · 2026-07-14 · 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{Q4JUJF4UJRFLBXDIBBVUBNXCSF}

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	2026-07-16T00:22:00.242255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87134497944c4ab0dc68086b40b6e291463fd4ab78a31c413d9b600c81fb602d

Aliases

arxiv: 2607.13153 · arxiv_version: 2607.13153v1 · doi: 10.48550/arxiv.2607.13153 · pith_short_12: Q4JUJF4UJRFL · pith_short_16: Q4JUJF4UJRFLBXDI · pith_short_8: Q4JUJF4U

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/Q4JUJF4UJRFLBXDIBBVUBNXCSF \
  | 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: 87134497944c4ab0dc68086b40b6e291463fd4ab78a31c413d9b600c81fb602d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01da7fe401dddde22f38609163744996713aa3c9f9f255c5595186c0da1bf37f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-07-14T18:04:30Z",
    "title_canon_sha256": "3c10c39c0c6d6720407c5aa1c20cfeff8b006b3ef86019a08cd98fb6a00f594c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13153",
    "kind": "arxiv",
    "version": 1
  }
}