Pith Number

pith:F53PSQK2

pith:2018:F53PSQK2GIRLR5JNOFBDJZFZXM

not attested not anchored not stored refs pending

Existence and blow-up of attractive Gross-Pitaevskii minimizers with general bounded potentials

Thanh Viet Phan

arxiv:1808.08918 v1 · 2018-08-27 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F53PSQK2GIRLR5JNOFBDJZFZXM}

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	2026-05-18T00:07:12.836532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f76f9415a3222b8f52d714234e4b9bb2d4d512074d656a4163bb37bd6c21a6d

Aliases

arxiv: 1808.08918 · arxiv_version: 1808.08918v1 · doi: 10.48550/arxiv.1808.08918 · pith_short_12: F53PSQK2GIRL · pith_short_16: F53PSQK2GIRLR5JN · pith_short_8: F53PSQK2

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/F53PSQK2GIRLR5JNOFBDJZFZXM \
  | 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: 2f76f9415a3222b8f52d714234e4b9bb2d4d512074d656a4163bb37bd6c21a6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c4426130ff1ec2ba70977cc756b66ac6b22741e98232a126e4064cb709e384",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-27T16:41:56Z",
    "title_canon_sha256": "6cfbb0c71a6357b0cd163cf4e4f6bf14c5227fb2efa849f5c608c34109c79172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08918",
    "kind": "arxiv",
    "version": 1
  }
}