Pith Number

pith:YGUNKWS6

pith:2017:YGUNKWS6DI3R5LGZZNT6XX3VUE

not attested not anchored not stored refs pending

Sharp Threshold of Blow-up and Scattering for the fractional Hartree equation

Qing Guo, Shihui Zhu

arxiv:1705.08615 v3 · 2017-05-24 · 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{YGUNKWS6DI3R5LGZZNT6XX3VUE}

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	2026-05-18T00:16:03.189211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1a8d55a5e1a371eacd9cb67ebdf75a11d87c8f188c0a0514f683caa89a2d453

Aliases

arxiv: 1705.08615 · arxiv_version: 1705.08615v3 · doi: 10.48550/arxiv.1705.08615 · pith_short_12: YGUNKWS6DI3R · pith_short_16: YGUNKWS6DI3R5LGZ · pith_short_8: YGUNKWS6

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/YGUNKWS6DI3R5LGZZNT6XX3VUE \
  | 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: c1a8d55a5e1a371eacd9cb67ebdf75a11d87c8f188c0a0514f683caa89a2d453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b68af2a44f73504ef2845089ced07beb59806c3fdae3e9c8979e07d6e52749",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-24T05:45:23Z",
    "title_canon_sha256": "69268c2b7967cf0d5b1d885db5829e4f7163673d7ddfed878e1c33fe21cba9dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08615",
    "kind": "arxiv",
    "version": 3
  }
}