Pith Number

pith:FLAN6QRE

pith:2017:FLAN6QRE6U5L3QQWIARESBS7KG

not attested not anchored not stored refs pending

Optical catastrophes of the swallowtail and butterfly beams

Alessandro Zannotti, Cornelia Denz, Falko Diebel, Martin Boguslawski

arxiv:1703.07716 v1 · 2017-03-22 · 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{FLAN6QRE6U5L3QQWIARESBS7KG}

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	2026-05-18T00:44:19.628731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ac0df4224f53abdc216402249065f51a69b42b07e8cd9ddb7eed1c61294f300

Aliases

arxiv: 1703.07716 · arxiv_version: 1703.07716v1 · doi: 10.48550/arxiv.1703.07716 · pith_short_12: FLAN6QRE6U5L · pith_short_16: FLAN6QRE6U5L3QQW · pith_short_8: FLAN6QRE

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/FLAN6QRE6U5L3QQWIARESBS7KG \
  | 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: 2ac0df4224f53abdc216402249065f51a69b42b07e8cd9ddb7eed1c61294f300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e293f6706e7e9be59d792af956bee9e48954691786647818e9108818eac516",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2017-03-22T15:46:54Z",
    "title_canon_sha256": "f238d11fe036e185fc23323508723b3517411322a883aba59a32587fee206310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07716",
    "kind": "arxiv",
    "version": 1
  }
}