Pith Number

pith:RSUGX3U6

pith:2015:RSUGX3U6YPM6RFEMFV5UZ2IUBB

not attested not anchored not stored refs pending

Semitrivial vs. fully nontrivial ground states in cooperative cubic Schr\"odinger systems with $d\ge3$ equations

Filipe Oliveira, Hugo Tavares, Sim\~ao Correia

arxiv:1508.01783 v1 · 2015-08-07 · 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{RSUGX3U6YPM6RFEMFV5UZ2IUBB}

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	2026-05-18T01:35:38.712924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ca86bee9ec3d9e8948c2d7b4ce914084399200ad235a4eb9e663727acce5104

Aliases

arxiv: 1508.01783 · arxiv_version: 1508.01783v1 · doi: 10.48550/arxiv.1508.01783 · pith_short_12: RSUGX3U6YPM6 · pith_short_16: RSUGX3U6YPM6RFEM · pith_short_8: RSUGX3U6

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/RSUGX3U6YPM6RFEMFV5UZ2IUBB \
  | 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: 8ca86bee9ec3d9e8948c2d7b4ce914084399200ad235a4eb9e663727acce5104

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c25ac2689310b21b7d7cec748245dbc2cf03e8b46b288d7f1f69073cbc1d169",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-07T19:14:42Z",
    "title_canon_sha256": "49fd8b3ccf7f2200337643dd8050e85ad57bcf7de5ae42a915b54cf5ab4956ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01783",
    "kind": "arxiv",
    "version": 1
  }
}