Pith Number

pith:PNGJUXZQ

pith:2025:PNGJUXZQ266SC4KQGBKDOQO4PP

not attested not anchored not stored refs pending

Tailoring light to create invariant modal spectra through complex channels

Andrew Forbes, Cade Peters, Isaac Nape

arxiv:2501.17591 v2 · 2025-01-29 · 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{PNGJUXZQ266SC4KQGBKDOQO4PP}

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	2026-07-05T11:54:43.772165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4c9a5f30d7bd21715030543741dc7bd782805f8ce319a8361ed60ddc70b308

Aliases

arxiv: 2501.17591 · arxiv_version: 2501.17591v2 · doi: 10.48550/arxiv.2501.17591 · pith_short_12: PNGJUXZQ266S · pith_short_16: PNGJUXZQ266SC4KQ · pith_short_8: PNGJUXZQ

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/PNGJUXZQ266SC4KQGBKDOQO4PP \
  | 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: 7b4c9a5f30d7bd21715030543741dc7bd782805f8ce319a8361ed60ddc70b308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59c3e0f2e88992a77969b88e26813db544a83a70a4021b75d88d6b2c9f507938",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-01-29T11:49:00Z",
    "title_canon_sha256": "f504c1ebeeb92a08bc99291816720aab95865e0937f6abb05aa4b93234be8291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.17591",
    "kind": "arxiv",
    "version": 2
  }
}