Pith Number

pith:XPNQFLK3

pith:2026:XPNQFLK3IP36GO2NRHBKIKHYEN

not attested not anchored not stored refs pending

Predictive Formulas for Scattering Mean Free Path for General Disordered Dielectric Media Beyond the Long-Wavelength Regime

Jaeuk Kim, Salvatore Torquato

arxiv:2608.01016 v1 · 2026-08-02 · cond-mat.dis-nn · cond-mat.soft · 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{XPNQFLK3IP36GO2NRHBKIKHYEN}

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	2026-08-04T01:56:13.254638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbdb02ad5b43f7e33b4d89c2a428f8236f56131ee795789394874f8ac0a85ed4

Aliases

arxiv: 2608.01016 · arxiv_version: 2608.01016v1 · doi: 10.48550/arxiv.2608.01016 · pith_short_12: XPNQFLK3IP36 · pith_short_16: XPNQFLK3IP36GO2N · pith_short_8: XPNQFLK3

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/XPNQFLK3IP36GO2NRHBKIKHYEN \
  | 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: bbdb02ad5b43f7e33b4d89c2a428f8236f56131ee795789394874f8ac0a85ed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fe611554dc4899b10c1bcfd11bed493a5024e121cc9b2f0a3eaf8b7988a83ff",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-08-02T05:48:31Z",
    "title_canon_sha256": "b9fb49c6428ed577afc34df6a0624a03421e2223118aecc1fd2fffa9ff6b2bfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01016",
    "kind": "arxiv",
    "version": 1
  }
}