Pith. sign in
Pith Number

pith:A5A7SFVJ

pith:2021:A5A7SFVJMHTSHODEINHRYMY7JP
not attested not anchored not stored refs pending

Polychromatic Electric Field Knots

Alessio D'Errico, Alicia Sit, Ebrahim Karimi, Hugo Laroque, Manuel F. Ferrer-Garcia

arxiv:2103.06958 v1 · 2021-03-11 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{A5A7SFVJMHTSHODEINHRYMY7JP}

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 2026-07-05T03:14:11.736286Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0741f916a961e723b864434f1c331f4bdc4094e9b318df2742e1c696125769d7

Aliases

arxiv: 2103.06958 · arxiv_version: 2103.06958v1 · doi: 10.48550/arxiv.2103.06958 · pith_short_12: A5A7SFVJMHTS · pith_short_16: A5A7SFVJMHTSHODE · pith_short_8: A5A7SFVJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/A5A7SFVJMHTSHODEINHRYMY7JP \
  | 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: 0741f916a961e723b864434f1c331f4bdc4094e9b318df2742e1c696125769d7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "63234d9dbbcd075db5f7f6915e1a54eca8cbee43105e675e1030b7e2f24b7a33",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-03-11T21:18:55Z",
    "title_canon_sha256": "4a083d811780c7e3156be045a6ff081c98c0aed60a71ab186fff3443f5bdbaf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.06958",
    "kind": "arxiv",
    "version": 1
  }
}