pith. sign in
Pith Number

pith:VUVFRBXE

pith:2015:VUVFRBXESWQVG6CGDVLZJLX2ZY
not attested not anchored not stored refs pending

Existence and bifurcation of solutions for a double coupled system of Schrodinger equations

Rushun Tian, Zhitao Zhang

arxiv:1504.06923 v1 · 2015-04-27 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?
Add to your LaTeX paper 
\usepackage{pith}
\pithnumber{VUVFRBXESWQVG6CGDVLZJLX2ZY}

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 2026-05-18T02:17:44.091109Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ad2a5886e495a15378461d5794aeface0cb4c1d134dd6d616994cbe03a12782f

Aliases

arxiv: 1504.06923 · arxiv_version: 1504.06923v1 · doi: 10.48550/arxiv.1504.06923 · pith_short_12: VUVFRBXESWQV · pith_short_16: VUVFRBXESWQVG6CG · pith_short_8: VUVFRBXE
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/VUVFRBXESWQVG6CGDVLZJLX2ZY \
  | 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: ad2a5886e495a15378461d5794aeface0cb4c1d134dd6d616994cbe03a12782f
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "82d4d1cd067c27453188e40bcdf239e0e012b5ec5085eabb645dd3d4d25760ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-27T04:02:08Z",
    "title_canon_sha256": "fbbc0a3f7f1e003506f873891d28876f0f2e58bdfbe3d7c120e1425d9ca1423e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06923",
    "kind": "arxiv",
    "version": 1
  }
}