Pith Number

pith:MGVOYIZW

pith:2013:MGVOYIZW6F2V6LMXYYIFQ2USQ6

not attested not anchored not stored refs pending

Uniform measures and uniform rectifiability

Xavier Tolsa

arxiv:1310.0658 v4 · 2013-10-02 · 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{MGVOYIZW6F2V6LMXYYIFQ2USQ6}

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	2026-05-18T01:53:09.683659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61aaec2336f1755f2d97c610586a9287b64512a1e675f414aaa616097613d195

Aliases

arxiv: 1310.0658 · arxiv_version: 1310.0658v4 · doi: 10.48550/arxiv.1310.0658 · pith_short_12: MGVOYIZW6F2V · pith_short_16: MGVOYIZW6F2V6LMX · pith_short_8: MGVOYIZW

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/MGVOYIZW6F2V6LMXYYIFQ2USQ6 \
  | 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: 61aaec2336f1755f2d97c610586a9287b64512a1e675f414aaa616097613d195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3479b0d141951c33d38f608c045f3ff653a3396c22bcbb1ecc0c538c5111aa64",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-02T11:00:11Z",
    "title_canon_sha256": "5b0acfa556a5fb587c0d67d15a1c7acd37b4486ebf0b71814a0007f939a9686b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0658",
    "kind": "arxiv",
    "version": 4
  }
}