Pith Number

pith:6R6S5RMV

pith:2016:6R6S5RMV6HMTECX4AJUUVMFU76

not attested not anchored not stored refs pending

The Hardy-Schr\"odinger operator with interior singularity: The remaining cases

Fr\'ed\'eric Robert, Nassif Ghoussoub

arxiv:1612.08355 v2 · 2016-12-26 · 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{6R6S5RMV6HMTECX4AJUUVMFU76}

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	2026-05-18T00:35:04.867803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f47d2ec595f1d9320afc02694ab0b4ff9bc65136130e7253baf2242741424184

Aliases

arxiv: 1612.08355 · arxiv_version: 1612.08355v2 · doi: 10.48550/arxiv.1612.08355 · pith_short_12: 6R6S5RMV6HMT · pith_short_16: 6R6S5RMV6HMTECX4 · pith_short_8: 6R6S5RMV

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/6R6S5RMV6HMTECX4AJUUVMFU76 \
  | 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: f47d2ec595f1d9320afc02694ab0b4ff9bc65136130e7253baf2242741424184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea055faaf074341b4e71bfeef0a091759e4b51ac41fbc6f58d1aa71be8a0739",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-26T10:02:23Z",
    "title_canon_sha256": "c4a7b10d42fb559dd25127e2fc319cbb40e2bb1cf0e58415a5fd8be1de431b05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08355",
    "kind": "arxiv",
    "version": 2
  }
}