Pith Number

pith:U4N7G3O3

pith:2026:U4N7G3O3FIQPSUXRI3L74OQR4F

not attested not anchored not stored refs pending

Maximum brightness theorem for waves

David A. B. Miller

arxiv:2608.12578 v1 · 2026-08-12 · 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{U4N7G3O3FIQPSUXRI3L74OQR4F}

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	2026-08-14T00:45:22.155512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a71bf36ddb2a20f952f146d7fe3a11e160b3f64910a111ad2e4327f52eca0e2c

Aliases

arxiv: 2608.12578 · arxiv_version: 2608.12578v1 · doi: 10.48550/arxiv.2608.12578 · pith_short_12: U4N7G3O3FIQP · pith_short_16: U4N7G3O3FIQPSUXR · pith_short_8: U4N7G3O3

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/U4N7G3O3FIQPSUXRI3L74OQR4F \
  | 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: a71bf36ddb2a20f952f146d7fe3a11e160b3f64910a111ad2e4327f52eca0e2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3adc96f0586bd19b1965fc4596c56b073b3a0673114bf632da27a5839e891fc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-08-12T20:40:03Z",
    "title_canon_sha256": "5789516d73dfee20c438c7b7d53fbfd9d263f41cfe6d88a0e93c29e1d7f618c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12578",
    "kind": "arxiv",
    "version": 1
  }
}