Pith Number

pith:CL4I3O65

pith:2016:CL4I3O65E4VH7E4SC4D3B5JPO5

not attested not anchored not stored refs pending

Rectifiability, interior approximation and Harmonic Measure

Jos\'e Maria Martell, Murat Akman, Simon Bortz, Steve Hofmann

arxiv:1601.08251 v3 · 2016-01-29 · math.CA · 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{CL4I3O65E4VH7E4SC4D3B5JPO5}

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	2026-05-17T23:39:42.375229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f88dbbdd272a7f93921707b0f52f775188ad661d0c91b0b21e9b41c7868abb

Aliases

arxiv: 1601.08251 · arxiv_version: 1601.08251v3 · doi: 10.48550/arxiv.1601.08251 · pith_short_12: CL4I3O65E4VH · pith_short_16: CL4I3O65E4VH7E4S · pith_short_8: CL4I3O65

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/CL4I3O65E4VH7E4SC4D3B5JPO5 \
  | 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: 12f88dbbdd272a7f93921707b0f52f775188ad661d0c91b0b21e9b41c7868abb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfbb2145e513cc3013d4a1a41d2a2dfb30885e866c43da09b34c58ced6e60415",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-29T20:53:54Z",
    "title_canon_sha256": "43ec6572bd9805edf171483917bb93f62058fb3f341d92ed599bd600fb139443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08251",
    "kind": "arxiv",
    "version": 3
  }
}