Pith Number

pith:WIJOBMW3

pith:2015:WIJOBMW3YRUI2ENLK2I37NUMQM

not attested not anchored not stored refs pending

Darboux transformation for the vector sine-Gordon equation and integrable equations on a sphere

Alexander V. Mikhailov, Georgios Papamikos, Jing Ping Wang

arxiv:1507.07248 v1 · 2015-07-26 · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WIJOBMW3YRUI2ENLK2I37NUMQM}

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	2026-05-18T01:12:49.783086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b212e0b2dbc4688d11ab5691bfb68c83050ba7758bc7c7ae1ef7e22dd9fcd139

Aliases

arxiv: 1507.07248 · arxiv_version: 1507.07248v1 · doi: 10.48550/arxiv.1507.07248 · pith_short_12: WIJOBMW3YRUI · pith_short_16: WIJOBMW3YRUI2ENL · pith_short_8: WIJOBMW3

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/WIJOBMW3YRUI2ENLK2I37NUMQM \
  | 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: b212e0b2dbc4688d11ab5691bfb68c83050ba7758bc7c7ae1ef7e22dd9fcd139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be7e0cf1d9dcb4e6c2a4e9eb4e79e94a37e84072af0825d71929b2abb414fd3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2015-07-26T20:35:54Z",
    "title_canon_sha256": "3edbba46b441e56f3e4be2c8545113904069d7b5da5878c46f42774f0d066ffa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07248",
    "kind": "arxiv",
    "version": 1
  }
}