Pith Number

pith:UNQAQFFG

pith:2017:UNQAQFFGQKZUOTG3E45SSLFBPC

not attested not anchored not stored refs pending

Global center stable manifold for the defocusing energy critical wave equation with potential

Baoping Liu, Guixiang Xu, Hao Jia, Wilhelm Schlag

arxiv:1706.09284 v2 · 2017-06-27 · 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{UNQAQFFGQKZUOTG3E45SSLFBPC}

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	2026-05-18T00:37:44.842156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3600814a682b3474cdb273b292ca1788de466b6fde28d85062b165048a241c4

Aliases

arxiv: 1706.09284 · arxiv_version: 1706.09284v2 · doi: 10.48550/arxiv.1706.09284 · pith_short_12: UNQAQFFGQKZU · pith_short_16: UNQAQFFGQKZUOTG3 · pith_short_8: UNQAQFFG

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/UNQAQFFGQKZUOTG3E45SSLFBPC \
  | 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: a3600814a682b3474cdb273b292ca1788de466b6fde28d85062b165048a241c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "178a6a866f987b2cdf1115ef65bab51ed99a1d4add00c1c047998aa8c1b62f6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-27T00:58:58Z",
    "title_canon_sha256": "bb99967e2e297b7613b647cfa1106894634a19b7d5e07259aad94805bcc702a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09284",
    "kind": "arxiv",
    "version": 2
  }
}