Pith Number

pith:AOL5HX5K

pith:2020:AOL5HX5KUSPCH45ESGXSMJ4RZX

not attested not anchored not stored refs pending

Indeterminacy estimates and the size of nodal sets in singular spaces

Fabio Cavalletti, Sara Farinelli

arxiv:2011.04409 v2 · 2020-11-09 · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOL5HX5KUSPCH45ESGXSMJ4RZX}

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	2026-07-05T02:05:45.101964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0397d3dfaaa49e23f3a491af262791cdd9739bae305b26a095e1cbf8bef13bd7

Aliases

arxiv: 2011.04409 · arxiv_version: 2011.04409v2 · doi: 10.48550/arxiv.2011.04409 · pith_short_12: AOL5HX5KUSPC · pith_short_16: AOL5HX5KUSPCH45E · pith_short_8: AOL5HX5K

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/AOL5HX5KUSPCH45ESGXSMJ4RZX \
  | 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: 0397d3dfaaa49e23f3a491af262791cdd9739bae305b26a095e1cbf8bef13bd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "767b0b21fdaf9adc144f5ea603e5422cc5633edfa4511940ff27db9f3c3aa816",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-11-09T13:25:25Z",
    "title_canon_sha256": "d42388eed00fe64f55149be509acb5c37441a6de1093c8eff17cfe78aabdcb27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.04409",
    "kind": "arxiv",
    "version": 2
  }
}