Pith Number

pith:KFVPHLL6

pith:2026:KFVPHLL6BFIVQSDA5CW5Z22FKN

not attested not anchored not stored refs pending

Ghost-wave momentum bandgaps in anisotropic Floquet lattices

Huanan Li, Huan He, Junhua Dong

arxiv:2607.17636 v1 · 2026-07-20 · 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{KFVPHLL6BFIVQSDA5CW5Z22FKN}

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	2026-07-21T01:21:56.537082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

516af3ad7e0951584860e8addceb45536d55ba7347971dd29e1453238ca79b26

Aliases

arxiv: 2607.17636 · arxiv_version: 2607.17636v1 · doi: 10.48550/arxiv.2607.17636 · pith_short_12: KFVPHLL6BFIV · pith_short_16: KFVPHLL6BFIVQSDA · pith_short_8: KFVPHLL6

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/KFVPHLL6BFIVQSDA5CW5Z22FKN \
  | 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: 516af3ad7e0951584860e8addceb45536d55ba7347971dd29e1453238ca79b26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "768bb2d7e6d1eb457e74a49b5ffc999bd4d2ff2c762b6fb681774519645bd258",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-07-20T07:44:45Z",
    "title_canon_sha256": "c7432c0a7b1ceaf5bfbd849c44259046bd9d12ad2b8f090cb4dccc59f8e0274c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17636",
    "kind": "arxiv",
    "version": 1
  }
}