Pith Number

pith:4WXJFLWU

pith:2025:4WXJFLWURLVFX3ZGXPF5JQMAMT

not attested not anchored not stored refs pending

Bending space-time wave packets

Ayman F. Abouraddy, Layton A. Hall

arxiv:2509.01950 v1 · 2025-09-02 · 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{4WXJFLWURLVFX3ZGXPF5JQMAMT}

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	2026-07-05T12:03:11.636852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ae92aed48aea5bef26bbcbd4c18064f6cf35fce3d15be2e27d09394ea35fd9

Aliases

arxiv: 2509.01950 · arxiv_version: 2509.01950v1 · doi: 10.48550/arxiv.2509.01950 · pith_short_12: 4WXJFLWURLVF · pith_short_16: 4WXJFLWURLVFX3ZG · pith_short_8: 4WXJFLWU

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/4WXJFLWURLVFX3ZGXPF5JQMAMT \
  | 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: e5ae92aed48aea5bef26bbcbd4c18064f6cf35fce3d15be2e27d09394ea35fd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5614df5647085d09eb0fc7e1b854e86c4fc3a46a9e52261570a0126275e732a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-09-02T04:44:55Z",
    "title_canon_sha256": "a88fd27acf724eaa6a09f418caa2270d92c29f335c2da9e212522e1e0cd45278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01950",
    "kind": "arxiv",
    "version": 1
  }
}