Pith Number

pith:L3NF2BLT

pith:2013:L3NF2BLT67V352U3VCKWOPDE7N

not attested not anchored not stored refs pending

Singular points of H\"older asymptotically optimally doubling measures

Stephen Lewis

arxiv:1301.1993 v2 · 2013-01-09 · math.CA · 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{L3NF2BLT67V352U3VCKWOPDE7N}

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	2026-05-18T03:36:35.863407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eda5d0573f7ebbeea9ba895673c64fb7d46be9e4b26bfb51429f29833f70462

Aliases

arxiv: 1301.1993 · arxiv_version: 1301.1993v2 · doi: 10.48550/arxiv.1301.1993 · pith_short_12: L3NF2BLT67V3 · pith_short_16: L3NF2BLT67V352U3 · pith_short_8: L3NF2BLT

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/L3NF2BLT67V352U3VCKWOPDE7N \
  | 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: 5eda5d0573f7ebbeea9ba895673c64fb7d46be9e4b26bfb51429f29833f70462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a23ba511a66f82e4961f99f8cc5a36a15b8a965a5ced0eed30ee83eb9b02baf6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-09T21:53:02Z",
    "title_canon_sha256": "9e4ee836dfe0ee5e8a4c482eb81469458c7ae102f702a3689c0ed9f3957f5430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1993",
    "kind": "arxiv",
    "version": 2
  }
}