Pith Number

pith:M3KQGI5K

pith:2017:M3KQGI5KYEDED7QGSRQMXCEDUW

not attested not anchored not stored refs pending

Blow-up for the 1D nonlinear Schr\"odinger equation with point nonlinearity II: Supercritical blow-up profiles

Chang Liu, Justin Holmer

arxiv:1708.03375 v1 · 2017-08-10 · 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{M3KQGI5KYEDED7QGSRQMXCEDUW}

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	2026-05-18T00:38:13.303407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d50323aac10641fe069460cb8883a5beb5b6205b17f18374ee68b3e9c7ea32

Aliases

arxiv: 1708.03375 · arxiv_version: 1708.03375v1 · doi: 10.48550/arxiv.1708.03375 · pith_short_12: M3KQGI5KYEDE · pith_short_16: M3KQGI5KYEDED7QG · pith_short_8: M3KQGI5K

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/M3KQGI5KYEDED7QGSRQMXCEDUW \
  | 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: 66d50323aac10641fe069460cb8883a5beb5b6205b17f18374ee68b3e9c7ea32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "114239f3dd90ea518f481c8b76e87bb341530048508900ab1458a3fa1ebb44d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-10T20:29:28Z",
    "title_canon_sha256": "e3806ca445745e4d617e7995bb24a96cd5dc1d5c313894961efa23bfc9bb19dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03375",
    "kind": "arxiv",
    "version": 1
  }
}