Pith Number

pith:TQS4UML2

pith:2026:TQS4UML23ITFEXDOF2QLFYA27U

not attested not anchored not stored refs pending

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals

Chenhao Pan, Liang Zhang, Yiming Pan

arxiv:2607.06077 v1 · 2026-07-07 · physics.optics · nlin.PS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQS4UML23ITFEXDOF2QLFYA27U}

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	2026-07-08T01:18:56.004901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c25ca317ada26525c6e2ea0b2e01afd3e98641152b1c06b0cdce7db610f439e

Aliases

arxiv: 2607.06077 · arxiv_version: 2607.06077v1 · doi: 10.48550/arxiv.2607.06077 · pith_short_12: TQS4UML23ITF · pith_short_16: TQS4UML23ITFEXDO · pith_short_8: TQS4UML2

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/TQS4UML23ITFEXDOF2QLFYA27U \
  | 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: 9c25ca317ada26525c6e2ea0b2e01afd3e98641152b1c06b0cdce7db610f439e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c788ece011efe8eb904698840ebf07ba38a22e14c8c0c483b4c04ea066b0d56",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-07-07T09:47:08Z",
    "title_canon_sha256": "19e8ac192bae8b1061318143a689040c0dad0b5cfadf9407c648ff667fc332a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06077",
    "kind": "arxiv",
    "version": 1
  }
}