Pith Number

pith:ZAQ4H4JQ

pith:2024:ZAQ4H4JQLFOXA2GGHVSCYZIZCN

not attested not anchored not stored refs pending

Spatiotemporal Superfocusing

F. J. Garc\'ia-Vidal, Guangwei Hu, Hao Hu, Haotian Wu, Qianru Yang, Yu Luo

arxiv:2411.08157 v1 · 2024-11-12 · 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{ZAQ4H4JQLFOXA2GGHVSCYZIZCN}

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	2026-07-05T09:34:42.235489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c821c3f130595d7068c63d642c6519137e85b128d617ffa683f4c7779dcfaaaf

Aliases

arxiv: 2411.08157 · arxiv_version: 2411.08157v1 · doi: 10.48550/arxiv.2411.08157 · pith_short_12: ZAQ4H4JQLFOX · pith_short_16: ZAQ4H4JQLFOXA2GG · pith_short_8: ZAQ4H4JQ

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/ZAQ4H4JQLFOXA2GGHVSCYZIZCN \
  | 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: c821c3f130595d7068c63d642c6519137e85b128d617ffa683f4c7779dcfaaaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b524c11dae82e38ca903a2d7e7a753a53c5bcc0cf2cc4b511b557e6e546bea0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2024-11-12T20:06:46Z",
    "title_canon_sha256": "2a6462cecbf1c0f4f7cac6887dc6016d463aa1b9a99792caa5cea07e84b9b98e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.08157",
    "kind": "arxiv",
    "version": 1
  }
}