Pith Number

pith:GIEB5OCS

pith:2019:GIEB5OCSH2LAH57VY7HS2PR3U6

not attested not anchored not stored refs pending

Spectral Numerical Mode Matching Method for 3D Layered Multi-Region Structures

Jie Liu, Na Liu, Qing Huo Liu

arxiv:1907.03754 v1 · 2019-07-08 · 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{GIEB5OCSH2LAH57VY7HS2PR3U6}

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	2026-05-17T23:41:06.884016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32081eb8523e9603f7f5c7cf2d3e3ba7af6b584053e9579278504bf3c2f87a29

Aliases

arxiv: 1907.03754 · arxiv_version: 1907.03754v1 · doi: 10.48550/arxiv.1907.03754 · pith_short_12: GIEB5OCSH2LA · pith_short_16: GIEB5OCSH2LAH57V · pith_short_8: GIEB5OCS

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/GIEB5OCSH2LAH57VY7HS2PR3U6 \
  | 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: 32081eb8523e9603f7f5c7cf2d3e3ba7af6b584053e9579278504bf3c2f87a29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cddb11dfea8d381cf4f081140660ceb3d12ccb533723f993f79de3e7189fc327",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-07-08T11:28:02Z",
    "title_canon_sha256": "b69b9930a18c8c285802a06873858b089173c8786ea19d967af0162ac8ce2e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03754",
    "kind": "arxiv",
    "version": 1
  }
}