Pith. sign in
Pith Number

pith:UYMVPTNM

pith:2025:UYMVPTNM23CXG6RAORN52EJBYC
not attested not anchored not stored refs pending

Refraction laws in temporal media

Cristian E. Guti\'errez, Eric Stachura

arxiv:2507.20032 v1 · 2025-07-26 · math.AP · cond-mat.mtrl-sci · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UYMVPTNM23CXG6RAORN52EJBYC}

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 2026-07-05T11:43:46.988889Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a61957cdacd6c5737a20745bdd1121c0af8e65c1893d60cc1039a9b79cae0d00

Aliases

arxiv: 2507.20032 · arxiv_version: 2507.20032v1 · doi: 10.48550/arxiv.2507.20032 · pith_short_12: UYMVPTNM23CX · pith_short_16: UYMVPTNM23CXG6RA · pith_short_8: UYMVPTNM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UYMVPTNM23CXG6RAORN52EJBYC \
  | 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: a61957cdacd6c5737a20745bdd1121c0af8e65c1893d60cc1039a9b79cae0d00
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2e6a93745940ef82193615a553e71da895a7711cb68599c337f05c4c333577f7",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-26T18:26:39Z",
    "title_canon_sha256": "8295d11fc491ad0d359bc813277a37910b75ec654b575bbc1cb4948d7884b99b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20032",
    "kind": "arxiv",
    "version": 1
  }
}