pith. sign in
Pith Number

pith:PDFIEFI6

pith:2016:PDFIEFI6HLJIGEPM6IKN7XP7V7
not attested not anchored not stored refs pending

The stationary sine-Gordon equation on metric graphs: Exact analytical solutions for simple topologies

D. Matrasulov, H. Susanto, K. Sabirov, S. Rakhmanov

arxiv:1612.00239 v1 · 2016-12-01 · nlin.SI · cond-mat.supr-con · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PDFIEFI6HLJIGEPM6IKN7XP7V7}

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 2026-05-18T00:20:49.240936Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

78ca82151e3ad28311ecf214dfddffafe45effb2c54307afa22a12c76e13d68a

Aliases

arxiv: 1612.00239 · arxiv_version: 1612.00239v1 · doi: 10.48550/arxiv.1612.00239 · pith_short_12: PDFIEFI6HLJI · pith_short_16: PDFIEFI6HLJIGEPM · pith_short_8: PDFIEFI6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PDFIEFI6HLJIGEPM6IKN7XP7V7 \
  | 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: 78ca82151e3ad28311ecf214dfddffafe45effb2c54307afa22a12c76e13d68a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3b2392f3cffebef73d1d67d9de7a544d4f2dd303c44e3f477cca522946f77de8",
    "cross_cats_sorted": [
      "cond-mat.supr-con",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2016-12-01T13:28:27Z",
    "title_canon_sha256": "e4fcfe5cff9c6cc11e81aac47a8646e3291563db525d4e4a8a2f095d0a9767b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00239",
    "kind": "arxiv",
    "version": 1
  }
}