Pith Number

pith:XDLFCGFW

pith:2012:XDLFCGFWNVFBVEK6AYQQVXVTMV

not attested not anchored not stored refs pending

Existence and symmetry of positive ground states for a doubly critical Schrodinger system

Wenming Zou, Zhijie Chen

arxiv:1211.1514 v2 · 2012-11-07 · 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{XDLFCGFWNVFBVEK6AYQQVXVTMV}

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	2026-05-18T02:55:18.663689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d65118b66d4a1a915e06210adeb365600bae3f405b13bc317486c1e5d2c10d

Aliases

arxiv: 1211.1514 · arxiv_version: 1211.1514v2 · doi: 10.48550/arxiv.1211.1514 · pith_short_12: XDLFCGFWNVFB · pith_short_16: XDLFCGFWNVFBVEK6 · pith_short_8: XDLFCGFW

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/XDLFCGFWNVFBVEK6AYQQVXVTMV \
  | 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: b8d65118b66d4a1a915e06210adeb365600bae3f405b13bc317486c1e5d2c10d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d28d6b37b444e0e2119d04d2a6478e4147cab7398cf5a757b7c92bf6acbb63a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-07T11:11:13Z",
    "title_canon_sha256": "35c1ca45c6ccd41459188f46bd8e551ae8362b5842e35e57f431a75c4193999c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1514",
    "kind": "arxiv",
    "version": 2
  }
}