Pith Number

pith:OSRHAON7

pith:2015:OSRHAON7MWSH2WHBPXK2XFM3ML

not attested not anchored not stored refs pending

The energy-critical NLS with inverse-square potential

C. Miao, J. Zhang, J. Zheng, M. Visan, R. Killip

arxiv:1509.05822 v1 · 2015-09-18 · 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{OSRHAON7MWSH2WHBPXK2XFM3ML}

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	2026-05-18T01:32:42.248747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74a27039bf65a47d58e17dd5ab959b62e566a1efe26414303f242d50c5c94fb7

Aliases

arxiv: 1509.05822 · arxiv_version: 1509.05822v1 · doi: 10.48550/arxiv.1509.05822 · pith_short_12: OSRHAON7MWSH · pith_short_16: OSRHAON7MWSH2WHB · pith_short_8: OSRHAON7

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/OSRHAON7MWSH2WHBPXK2XFM3ML \
  | 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: 74a27039bf65a47d58e17dd5ab959b62e566a1efe26414303f242d50c5c94fb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "221f60ccbbdf3f690b7f7c099415c228250d12e76d2b277e8fc71b6febd852dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-18T23:50:17Z",
    "title_canon_sha256": "32c7e72d1e603983409d013ce3c19839ab63f31ce8723b4c117b4b8118fa2fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05822",
    "kind": "arxiv",
    "version": 1
  }
}