Pith Number

pith:3BGWHLLF

pith:2026:3BGWHLLFJGMBTLBD26TGFIUTO6

not attested not anchored not stored refs pending

Nonlinear Response via Sublinear Optics

Denys I. Bondar, Elvira Bilokon, Mykhaylo Khoma, Valeriia Bilokon

arxiv:2607.19154 v1 · 2026-07-21 · quant-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{3BGWHLLFJGMBTLBD26TGFIUTO6}

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	2026-07-22T01:24:11.253058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d84d63ad65499819ac23d7a662a29377815f6f28f9762aa1112039a1980bf446

Aliases

arxiv: 2607.19154 · arxiv_version: 2607.19154v1 · doi: 10.48550/arxiv.2607.19154 · pith_short_12: 3BGWHLLFJGMB · pith_short_16: 3BGWHLLFJGMBTLBD · pith_short_8: 3BGWHLLF

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/3BGWHLLFJGMBTLBD26TGFIUTO6 \
  | 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: d84d63ad65499819ac23d7a662a29377815f6f28f9762aa1112039a1980bf446

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf0f7dd633830974a40069889f20274c4f5252944d474b571149ac8caaca4442",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-21T14:53:14Z",
    "title_canon_sha256": "6f3c2cf41a56b60f0efe5a89c18eed5f2e0878cd554b027f4f10d874fd811346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19154",
    "kind": "arxiv",
    "version": 1
  }
}