Pith Number

pith:UGKUREE6

pith:2012:UGKUREE6ZHR4R2QTKT33VFBTIC

not attested not anchored not stored refs pending

Ground states for pseudo-relativistic Hartree equations of critical type

Margherita Nolasco, Vittorio Coti Zelati

arxiv:1202.2446 v1 · 2012-02-11 · 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{UGKUREE6ZHR4R2QTKT33VFBTIC}

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	2026-05-18T04:02:26.517158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19548909ec9e3c8ea1354f7ba9433408b8f16fbe2e9f0b9a2273e32793145cc

Aliases

arxiv: 1202.2446 · arxiv_version: 1202.2446v1 · doi: 10.48550/arxiv.1202.2446 · pith_short_12: UGKUREE6ZHR4 · pith_short_16: UGKUREE6ZHR4R2QT · pith_short_8: UGKUREE6

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/UGKUREE6ZHR4R2QTKT33VFBTIC \
  | 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: a19548909ec9e3c8ea1354f7ba9433408b8f16fbe2e9f0b9a2273e32793145cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "210084e205a85dab41b5dd727e56d27b0e84f3a4c39839f2c10a813a1c521a78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-11T14:15:04Z",
    "title_canon_sha256": "a5c00a0671c196e81a92e7e2d6421a0aeaa009434d991e94147c7c7ac46e07c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2446",
    "kind": "arxiv",
    "version": 1
  }
}