Pith Number

pith:X62QMUVM

pith:2018:X62QMUVMZP6VHL4NDMS2YVWJJ5

not attested not anchored not stored refs pending

Stability band structure for periodic states in periodic potentials

Bin Liu, Boris A. Malomed, Lu Li

arxiv:1805.07234 v1 · 2018-05-17 · 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{X62QMUVMZP6VHL4NDMS2YVWJJ5}

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	2026-05-18T00:15:38.816736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb50652accbfd53af8d1b25ac56c94f446430d6b3f306cac4eb27e6a0354fd9

Aliases

arxiv: 1805.07234 · arxiv_version: 1805.07234v1 · doi: 10.48550/arxiv.1805.07234 · pith_short_12: X62QMUVMZP6V · pith_short_16: X62QMUVMZP6VHL4N · pith_short_8: X62QMUVM

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/X62QMUVMZP6VHL4NDMS2YVWJJ5 \
  | 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: bfb50652accbfd53af8d1b25ac56c94f446430d6b3f306cac4eb27e6a0354fd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "020d50a42c6928a4173bc905a8cc82d18cd0a06e8fb8d94d59dc2985af84fda2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-05-17T08:12:14Z",
    "title_canon_sha256": "c5cf97861dd3958875f9ee5a64d208f2619b8b89c5d723b9b89e2a402fdbe5a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07234",
    "kind": "arxiv",
    "version": 1
  }
}