Pith Number

pith:7JQBYBSI

pith:2016:7JQBYBSIW6PWYATEVTABMKZC25

not attested not anchored not stored refs pending

On the existence of positive solutions for a quasilinear Schr\"{o}dinger equation

Haidong Liu, Leiga Zhao

arxiv:1603.07158 v1 · 2016-03-23 · 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{7JQBYBSIW6PWYATEVTABMKZC25}

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	2026-05-18T01:18:24.241041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa601c0648b79f6c0264acc0162b22d76bdff95a8545cb0a13d5b089efab8cdf

Aliases

arxiv: 1603.07158 · arxiv_version: 1603.07158v1 · doi: 10.48550/arxiv.1603.07158 · pith_short_12: 7JQBYBSIW6PW · pith_short_16: 7JQBYBSIW6PWYATE · pith_short_8: 7JQBYBSI

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/7JQBYBSIW6PWYATEVTABMKZC25 \
  | 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: fa601c0648b79f6c0264acc0162b22d76bdff95a8545cb0a13d5b089efab8cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c25871a0a41d8eeec7a60947ef7747ed415d56e44f432d7f7333152914ffd6ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-23T12:40:24Z",
    "title_canon_sha256": "09f14ecea3a571c7aeeed1449e23fccd99e7aebbbe22d94e68bb6e7c6be6b8d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07158",
    "kind": "arxiv",
    "version": 1
  }
}