Pith Number

pith:WVGJBKGR

pith:2015:WVGJBKGR74SH3ZO2UZLPMBAQF4

not attested not anchored not stored refs pending

Blow-up for the 1D nonlinear Schr\"odinger equation with point nonlinearity I: Basic theory

Chang Liu, Justin Holmer

arxiv:1510.03491 v1 · 2015-10-13 · 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{WVGJBKGR74SH3ZO2UZLPMBAQF4}

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	2026-05-18T01:30:17.086854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b54c90a8d1ff247de5daa656f604102f3b49c0f1b0415070a0f2fef15e7adcde

Aliases

arxiv: 1510.03491 · arxiv_version: 1510.03491v1 · doi: 10.48550/arxiv.1510.03491 · pith_short_12: WVGJBKGR74SH · pith_short_16: WVGJBKGR74SH3ZO2 · pith_short_8: WVGJBKGR

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/WVGJBKGR74SH3ZO2UZLPMBAQF4 \
  | 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: b54c90a8d1ff247de5daa656f604102f3b49c0f1b0415070a0f2fef15e7adcde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f65f69140e2748671031c7ed0c1cb0bb70656fecb506ab19724bb4139f6fa1c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-13T00:41:33Z",
    "title_canon_sha256": "10363124e17562060775edadc4f418d124a11421d788975561a875e30a30bea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03491",
    "kind": "arxiv",
    "version": 1
  }
}