Pith Number

pith:GNFQ62B4

pith:2025:GNFQ62B4FXCDN5NSYKBLHL75KC

not attested not anchored not stored refs pending

Bernstein Bounds for Caustics

Boxuan Li, Chen Wang, Jie Guo, Ling-Qi Yan, Yanwen Guo, Yiming Wang, Yuxuan Guo, Zhimin Fan

arxiv:2504.19163 v1 · 2025-04-27 · cs.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNFQ62B4FXCDN5NSYKBLHL75KC}

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	2026-07-05T10:54:53.165879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

334b0f683c2dc436f5b2c282b3affd5081d8f3733ebd910572b36b3087803f82

Aliases

arxiv: 2504.19163 · arxiv_version: 2504.19163v1 · doi: 10.48550/arxiv.2504.19163 · pith_short_12: GNFQ62B4FXCD · pith_short_16: GNFQ62B4FXCDN5NS · pith_short_8: GNFQ62B4

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/GNFQ62B4FXCDN5NSYKBLHL75KC \
  | 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: 334b0f683c2dc436f5b2c282b3affd5081d8f3733ebd910572b36b3087803f82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1d0221a0148f82fd698ba571efa1e7c4817fe611fa2c97f1c12eb6f8f36ae80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2025-04-27T08:45:39Z",
    "title_canon_sha256": "dc9ad7449a74315e61599ed6f0b5f7d8ae77388c35d940f090f4aaf26851554f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.19163",
    "kind": "arxiv",
    "version": 1
  }
}