Pith Number

pith:ASKFT7NG

pith:2012:ASKFT7NGXPCT3ZOSNMHC2Q42LX

not attested not anchored not stored refs pending

The NLS ground states on product spaces

Nicola Visciglia, Nikolay Tzvetkov, Susanna Terracini

arxiv:1205.0342 v1 · 2012-05-02 · 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{ASKFT7NGXPCT3ZOSNMHC2Q42LX}

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	2026-05-18T01:22:26.677344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

049459fda6bbc53de5d26b0e2d439a5df02b1055b3142d54eb5c36daed0f0242

Aliases

arxiv: 1205.0342 · arxiv_version: 1205.0342v1 · doi: 10.48550/arxiv.1205.0342 · pith_short_12: ASKFT7NGXPCT · pith_short_16: ASKFT7NGXPCT3ZOS · pith_short_8: ASKFT7NG

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/ASKFT7NGXPCT3ZOSNMHC2Q42LX \
  | 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: 049459fda6bbc53de5d26b0e2d439a5df02b1055b3142d54eb5c36daed0f0242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ff2f28d04ead03996a583dd840dc6dbbe3291981776b867fcc3dbe4f22b627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-02T07:32:13Z",
    "title_canon_sha256": "f6f14fccdbbd04cc563b8dbc070966060bdcdc2513124cd8fa39a65942d83d00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0342",
    "kind": "arxiv",
    "version": 1
  }
}