Pith Number

pith:3J6G2IVT

pith:2021:3J6G2IVT6VEI7GOU5IBY72RNFT

not attested not anchored not stored refs pending

Bound and ground states of coupled "NLS-KDV" equations with Hardy potential and critical power

Alejandro Ortega, Eduardo Colorado, Rafael L\'opez-Soriano

arxiv:2107.13899 v1 · 2021-07-29 · 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{3J6G2IVT6VEI7GOU5IBY72RNFT}

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	2026-07-05T03:01:41.481386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da7c6d22b3f5488f99d4ea038fea2d2ccad5b4a981dac39f09216f81bdf95871

Aliases

arxiv: 2107.13899 · arxiv_version: 2107.13899v1 · doi: 10.48550/arxiv.2107.13899 · pith_short_12: 3J6G2IVT6VEI · pith_short_16: 3J6G2IVT6VEI7GOU · pith_short_8: 3J6G2IVT

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/3J6G2IVT6VEI7GOU5IBY72RNFT \
  | 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: da7c6d22b3f5488f99d4ea038fea2d2ccad5b4a981dac39f09216f81bdf95871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df3e9547cab732cc92e86e967d189f91ce111ee8be594e794ca7244bdea24a6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-07-29T11:16:10Z",
    "title_canon_sha256": "4083fd363a4cab798a795bdcac7391c4bc98c84158c133254b10c1fd233b9d24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13899",
    "kind": "arxiv",
    "version": 1
  }
}