Pith Number

pith:G3FX3LBO

pith:2014:G3FX3LBOYOBFA7DXC3TZIHNIOG

not attested not anchored not stored refs pending

On the Hardy-Schr\"odinger operator with a boundary singularity

Fr\'ed\'eric Robert, Nassif Ghoussoub

arxiv:1410.1913 v2 · 2014-10-07 · 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{G3FX3LBOYOBFA7DXC3TZIHNIOG}

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	2026-05-18T00:22:30.077946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36cb7dac2ec382507c7716e7941da871bea69fef081858d28ca4465cecc27a0a

Aliases

arxiv: 1410.1913 · arxiv_version: 1410.1913v2 · doi: 10.48550/arxiv.1410.1913 · pith_short_12: G3FX3LBOYOBF · pith_short_16: G3FX3LBOYOBFA7DX · pith_short_8: G3FX3LBO

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/G3FX3LBOYOBFA7DXC3TZIHNIOG \
  | 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: 36cb7dac2ec382507c7716e7941da871bea69fef081858d28ca4465cecc27a0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b9ef2cf621f8bdaa307bb993ae2e4b915c77316b202a52422f7dfc66a361a97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-07T21:08:58Z",
    "title_canon_sha256": "712edc9cb90a989b9b6e10dc930408b45bd825cf0e7fb1a5937dcb6da111797a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1913",
    "kind": "arxiv",
    "version": 2
  }
}