Pith Number

pith:MTMK2O6T

pith:2016:MTMK2O6TUSPEQMUCWSGDCWBJ2K

not attested not anchored not stored refs pending

A priori estimates and positivity for semiclassical ground states for systems of critical Schroedinger equations in dimension two

Daniele Cassani, Jianjun Zhang

arxiv:1610.06765 v1 · 2016-10-21 · 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{MTMK2O6TUSPEQMUCWSGDCWBJ2K}

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	2026-05-18T01:01:36.775367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d8ad3bd3a49e483282b48c315829d2a54de8eb01bc9487f802d0b8aec1e137

Aliases

arxiv: 1610.06765 · arxiv_version: 1610.06765v1 · doi: 10.48550/arxiv.1610.06765 · pith_short_12: MTMK2O6TUSPE · pith_short_16: MTMK2O6TUSPEQMUC · pith_short_8: MTMK2O6T

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/MTMK2O6TUSPEQMUCWSGDCWBJ2K \
  | 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: 64d8ad3bd3a49e483282b48c315829d2a54de8eb01bc9487f802d0b8aec1e137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cafb6b6122448bc0e62b63755eb04192935d169d12c7eb6f2f45b47fb900978",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-21T12:40:58Z",
    "title_canon_sha256": "97a7b84381b0d205ca14cfa004172ad278a9bc059d82adaf820d6b36d4f27871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06765",
    "kind": "arxiv",
    "version": 1
  }
}