Pith Number

pith:T2TK4AJI

pith:2025:T2TK4AJIJ2J2ZHH64CT5BCGWJV

not attested not anchored not stored refs pending

SPP location with spherical ray tracing by refractive index

Dongliang Liu, Hui Qian, Xiaosan Zhu

arxiv:2506.19859 v1 · 2025-06-10 · physics.ao-ph · astro-ph.EP · physics.geo-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{T2TK4AJIJ2J2ZHH64CT5BCGWJV}

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	2026-07-05T11:26:54.503921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea6ae01284e93ac9cfee0a7d088d64d601d270b20d358ecefed4fc1a35080ce

Aliases

arxiv: 2506.19859 · arxiv_version: 2506.19859v1 · doi: 10.48550/arxiv.2506.19859 · pith_short_12: T2TK4AJIJ2J2 · pith_short_16: T2TK4AJIJ2J2ZHH6 · pith_short_8: T2TK4AJI

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/T2TK4AJIJ2J2ZHH64CT5BCGWJV \
  | 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: 9ea6ae01284e93ac9cfee0a7d088d64d601d270b20d358ecefed4fc1a35080ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb3fce7c2e4c7cc9096d01767d79e482d8cb189ecaa664527395e084e347797a",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "physics.geo-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.ao-ph",
    "submitted_at": "2025-06-10T02:51:34Z",
    "title_canon_sha256": "daeead6ed744c9c9cd07633e4d66d3ae3074bb079d301a15f958dcb5d01362c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19859",
    "kind": "arxiv",
    "version": 1
  }
}