Pith Number

pith:QJQRAJKJ

pith:2005:QJQRAJKJZ2P25VIP3UIVM6RGYO

not attested not anchored not stored refs pending

Superluminal Behaviors of Modified Bessel Waves

Cai-Dong Xiong, Zhi-yong Wang

arxiv:physics/0504160 v5 · 2005-04-22 · 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{QJQRAJKJZ2P25VIP3UIVM6RGYO}

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	2026-05-18T01:38:07.742864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8261102549ce9faed50fdd11567a26c3ad0f0cef263a49214ec776487112d761

Aliases

arxiv: physics/0504160 · arxiv_version: physics/0504160v5 · doi: 10.48550/arxiv.physics/0504160 · pith_short_12: QJQRAJKJZ2P2 · pith_short_16: QJQRAJKJZ2P25VIP · pith_short_8: QJQRAJKJ

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/QJQRAJKJZ2P25VIP3UIVM6RGYO \
  | 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: 8261102549ce9faed50fdd11567a26c3ad0f0cef263a49214ec776487112d761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3afd523b01413714afa1148771e378abd6ff97f3afd0562409e4171154269e8d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2005-04-22T10:29:07Z",
    "title_canon_sha256": "298f63815726d522119fdbb9d3df15bc5b74e93e68ed13fc11aa61480f66f9c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0504160",
    "kind": "arxiv",
    "version": 5
  }
}