Pith Number

pith:CRUSYCWT

pith:2011:CRUSYCWTDJVSJKVPLD6JKU2ISD

not attested not anchored not stored refs pending

Linked and knotted beams of light, conservation of helicity and the flow of null electromagnetic fields

William T. M. Irvine

arxiv:1110.5408 v1 · 2011-10-25 · physics.optics · math-ph · math.MP · physics.plasm-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRUSYCWTDJVSJKVPLD6JKU2ISD}

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	2026-05-18T02:00:04.322264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14692c0ad31a6b24aaaf58fc95534890ce7c5302f54e3393798aade429bfc807

Aliases

arxiv: 1110.5408 · arxiv_version: 1110.5408v1 · doi: 10.48550/arxiv.1110.5408 · pith_short_12: CRUSYCWTDJVS · pith_short_16: CRUSYCWTDJVSJKVP · pith_short_8: CRUSYCWT

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/CRUSYCWTDJVSJKVPLD6JKU2ISD \
  | 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: 14692c0ad31a6b24aaaf58fc95534890ce7c5302f54e3393798aade429bfc807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec71392f82ac2687cc1095b18643183fe33dbe6f90b2d4d3ad0b449ad391f82b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-10-25T04:41:58Z",
    "title_canon_sha256": "592ac9d149e2d35ec1de889f0c8dedea395fccf27230a5b4ab541a8ea3dfce61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5408",
    "kind": "arxiv",
    "version": 1
  }
}