Pith Number

pith:DVXUROGN

pith:2018:DVXUROGNWBTCMDHXOWN647KH4P

not attested not anchored not stored refs pending

Blow-up for biharmonic Schrodinger equation with critical nonlinearity

Thanh Viet Phan

arxiv:1807.09002 v1 · 2018-07-24 · 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{DVXUROGNWBTCMDHXOWN647KH4P}

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	2026-05-18T00:09:57.073916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d6f48b8cdb066260cf7759bee7d47e3f240d33451d326c1db65e62e482fb40c

Aliases

arxiv: 1807.09002 · arxiv_version: 1807.09002v1 · doi: 10.48550/arxiv.1807.09002 · pith_short_12: DVXUROGNWBTC · pith_short_16: DVXUROGNWBTCMDHX · pith_short_8: DVXUROGN

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/DVXUROGNWBTCMDHXOWN647KH4P \
  | 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: 1d6f48b8cdb066260cf7759bee7d47e3f240d33451d326c1db65e62e482fb40c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bc093fa1c278fa2e0c8b4ad6f20166b259d7c31f6aec44b79fc04c4062dd0ba",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-07-24T10:05:36Z",
    "title_canon_sha256": "1f4528f2c24af3aa1d9dfd41185d70206c3c01632df30e2c55861b4fcd834b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09002",
    "kind": "arxiv",
    "version": 1
  }
}