Pith Number

pith:O3MCASDT

pith:2011:O3MCASDTCKEHQJC2E23XIG5IJB

not attested not anchored not stored refs pending

Existence of minimizers for spectral problems

Aldo Pratelli, Dario Mazzoleni

arxiv:1112.0203 v1 · 2011-12-01 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3MCASDTCKEHQJC2E23XIG5IJB}

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	2026-05-18T04:07:16.578809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76d8204873128878245a26b7741ba848695af75c876c146cca2c2ada76c84187

Aliases

arxiv: 1112.0203 · arxiv_version: 1112.0203v1 · doi: 10.48550/arxiv.1112.0203 · pith_short_12: O3MCASDTCKEH · pith_short_16: O3MCASDTCKEHQJC2 · pith_short_8: O3MCASDT

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/O3MCASDTCKEHQJC2E23XIG5IJB \
  | 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: 76d8204873128878245a26b7741ba848695af75c876c146cca2c2ada76c84187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26689cbcc49388adb4a3434d53d9e5ddb3a9dc51f2fc4736924454d29c055eca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-01T15:06:11Z",
    "title_canon_sha256": "734b13cf2fc683118d92d355021ebbfd4a7f58b4c4c697126330ce9891d3c82d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0203",
    "kind": "arxiv",
    "version": 1
  }
}