pith. sign in
Pith Number

pith:CFXPBLZ3

pith:2016:CFXPBLZ366SZQJB36U7FDZBWAB
not attested not anchored not stored refs pending

Approximate Analytic Solutions to Coupled Nonlinear Dirac Equations

Avadh Saxena, Avinash Khare, Fred Cooper

arxiv:1603.08043 v1 · 2016-03-25 · nlin.PS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CFXPBLZ366SZQJB36U7FDZBWAB}

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 2026-05-18T00:49:24.894272Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

116ef0af3bf7a598243bf53e51e436005d1a31be34ca40860efe8435d3d38367

Aliases

arxiv: 1603.08043 · arxiv_version: 1603.08043v1 · doi: 10.48550/arxiv.1603.08043 · pith_short_12: CFXPBLZ366SZ · pith_short_16: CFXPBLZ366SZQJB3 · pith_short_8: CFXPBLZ3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CFXPBLZ366SZQJB36U7FDZBWAB \
  | 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: 116ef0af3bf7a598243bf53e51e436005d1a31be34ca40860efe8435d3d38367
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b943a0f50db6b724131cd09ae0af9c3fb589062e274fa3c678e1bd5384cef9f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2016-03-25T21:54:45Z",
    "title_canon_sha256": "5d23af413a5b829fecd2ae5c660a451c5759ae4399d3f6016110f05c43daf521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08043",
    "kind": "arxiv",
    "version": 1
  }
}