Pith Number

pith:XMWEQW6P

pith:2017:XMWEQW6PGMF2TBAGD5CEI2C35D

not attested not anchored not stored refs pending

Rectifiability of measures and the $\beta_p$ coefficients

Xavier Tolsa

arxiv:1708.02304 v3 · 2017-08-07 · 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{XMWEQW6PGMF2TBAGD5CEI2C35D}

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	2026-05-18T00:25:34.101941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2c485bcf330ba984061f4444685be8df9166c2d25451d99849a17bcc5d3d5d

Aliases

arxiv: 1708.02304 · arxiv_version: 1708.02304v3 · doi: 10.48550/arxiv.1708.02304 · pith_short_12: XMWEQW6PGMF2 · pith_short_16: XMWEQW6PGMF2TBAG · pith_short_8: XMWEQW6P

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/XMWEQW6PGMF2TBAGD5CEI2C35D \
  | 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: bb2c485bcf330ba984061f4444685be8df9166c2d25451d99849a17bcc5d3d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9445caa73aaf5cc2d366a75f597d3d68cb2808d0ed717d7d731f8b4fd4ef53f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-07T21:05:00Z",
    "title_canon_sha256": "0bc6bcd2cd99a6185891fdf0abc0c87966c2b36e9f0b0184885081d933758a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02304",
    "kind": "arxiv",
    "version": 3
  }
}