Pith Number

pith:R7V2233D

pith:2020:R7V2233DKCEHOVTU3SAVEB2YHB

not attested not anchored not stored refs pending

Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic potential

Dmitry E. Pelinovsky, Filip Ficek, Piotr Bizon, Szymon Sobieszek

arxiv:2009.04929 v2 · 2020-09-10 · math-ph · math.AP · math.CA · math.DS · math.MP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7V2233DKCEHOVTU3SAVEB2YHB}

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	2026-07-05T02:30:59.533764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8febad6f635088775674dc81520758387abfb62e6598e398af4d9f5ccb5b80c6

Aliases

arxiv: 2009.04929 · arxiv_version: 2009.04929v2 · doi: 10.48550/arxiv.2009.04929 · pith_short_12: R7V2233DKCEH · pith_short_16: R7V2233DKCEHOVTU · pith_short_8: R7V2233D

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/R7V2233DKCEHOVTU3SAVEB2YHB \
  | 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: 8febad6f635088775674dc81520758387abfb62e6598e398af4d9f5ccb5b80c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "126eafa7c2ce7a5eec9b6083a14172f63eeb463622f4b6352017baae98eac0a2",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.DS",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-09-10T15:14:33Z",
    "title_canon_sha256": "3833aca8207a0ebaad71a59f2a445267c33062771735db5c67c4376e1b0cc4d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.04929",
    "kind": "arxiv",
    "version": 2
  }
}