Pith Number

pith:TI6KPWS5

pith:2026:TI6KPWS5TLTUVM6TAVTIPKSASZ

not attested not anchored not stored refs pending

Optical Two-Centered Charges, Dipoles, and Conveyor-Belt Modes in Bipolar Coordinates

J. Strohaber

arxiv:2606.20951 v1 · 2026-06-18 · 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{TI6KPWS5TLTUVM6TAVTIPKSASZ}

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	2026-06-23T01:12:22.997761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a3ca7da5d9ae74ab3d3056687aa40964ff34cdb66a821aac99bcc95f4b1195a

Aliases

arxiv: 2606.20951 · arxiv_version: 2606.20951v1 · doi: 10.48550/arxiv.2606.20951 · pith_short_12: TI6KPWS5TLTU · pith_short_16: TI6KPWS5TLTUVM6T · pith_short_8: TI6KPWS5

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/TI6KPWS5TLTUVM6TAVTIPKSASZ \
  | 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: 9a3ca7da5d9ae74ab3d3056687aa40964ff34cdb66a821aac99bcc95f4b1195a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6030c921d1c87b361f799aa6964c5dc3420cd4a1467bacd37a8e5ede9a410fb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-18T21:33:32Z",
    "title_canon_sha256": "2ff1ab27ca103fa05dc363f1e0c736d86f5a1919d400562b7154dece6b3a5894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20951",
    "kind": "arxiv",
    "version": 1
  }
}