Pith Number

pith:JXOH5TGT

pith:2010:JXOH5TGTHLGIVUYFF746FWPFCD

not attested not anchored not stored refs pending

Approximation by finitely supported measures

Benoit Kloeckner (IF)

arxiv:1003.1035 v3 · 2010-03-04 · math.OC · 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{JXOH5TGTHLGIVUYFF746FWPFCD}

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	2026-05-18T03:51:00.445365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ddc7eccd33acc8ad3052ff9e2d9e510ef3d065ed37b4187b5207f651e1c893f

Aliases

arxiv: 1003.1035 · arxiv_version: 1003.1035v3 · doi: 10.48550/arxiv.1003.1035 · pith_short_12: JXOH5TGTHLGI · pith_short_16: JXOH5TGTHLGIVUYF · pith_short_8: JXOH5TGT

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/JXOH5TGTHLGIVUYFF746FWPFCD \
  | 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: 4ddc7eccd33acc8ad3052ff9e2d9e510ef3d065ed37b4187b5207f651e1c893f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be3cbd241fd8f15121fe4faad98dbdcb6d32f9a999b524010f1a60a559268dd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-03-04T13:03:08Z",
    "title_canon_sha256": "3a904d5613d330669c9b6fb72ab0a019292c1de94e608e61975910524ddd0a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1035",
    "kind": "arxiv",
    "version": 3
  }
}