pith. sign in
Pith Number

pith:QJBTWWO3

pith:2016:QJBTWWO3GQP23A4APS4GQA2SVG
not attested not anchored not stored refs pending

Stability and instability of standing waves for a generalized Choquard equation with potential

Minbo Yang, Zhipeng Cheng

arxiv:1604.06861 v2 · 2016-04-23 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QJBTWWO3GQP23A4APS4GQA2SVG}

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 2026-05-18T00:49:18.825299Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

82433b59db341fad83807cb8680352a9b02da81f3c6a5b3a601e49c21f7233b7

Aliases

arxiv: 1604.06861 · arxiv_version: 1604.06861v2 · doi: 10.48550/arxiv.1604.06861 · pith_short_12: QJBTWWO3GQP2 · pith_short_16: QJBTWWO3GQP23A4A · pith_short_8: QJBTWWO3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QJBTWWO3GQP23A4APS4GQA2SVG \
  | 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: 82433b59db341fad83807cb8680352a9b02da81f3c6a5b3a601e49c21f7233b7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "23da118ac0b9d551c0ef3e128c607aac5ac5241382b7b405386a19d05c2a0179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-23T05:10:49Z",
    "title_canon_sha256": "520e00ea28325a0ee9b9d4a95aad72306ced35333b8a6abf0664e991740f472e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06861",
    "kind": "arxiv",
    "version": 2
  }
}