Pith Number

pith:F6DHZXS2

pith:2011:F6DHZXS2S3ADFJC5XVBASWQ2GE

not attested not anchored not stored refs pending

Mass transport and uniform rectifiability

Xavier Tolsa

arxiv:1103.1543 v4 · 2011-03-08 · 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{F6DHZXS2S3ADFJC5XVBASWQ2GE}

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	2026-05-18T04:14:37.910892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f867cde5a96c032a45dbd42095a1a3122e70bcb9174f1d8ff0fd93a3a211249

Aliases

arxiv: 1103.1543 · arxiv_version: 1103.1543v4 · doi: 10.48550/arxiv.1103.1543 · pith_short_12: F6DHZXS2S3AD · pith_short_16: F6DHZXS2S3ADFJC5 · pith_short_8: F6DHZXS2

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/F6DHZXS2S3ADFJC5XVBASWQ2GE \
  | 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: 2f867cde5a96c032a45dbd42095a1a3122e70bcb9174f1d8ff0fd93a3a211249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f9c55f6af342cde0752e9109656d4cd333111c578c979d4d9b0c2855101689",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-03-08T14:47:27Z",
    "title_canon_sha256": "572bc4b5336c254f08952f237a0611a7b81178394dde1acfdddd4253e76cca07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1543",
    "kind": "arxiv",
    "version": 4
  }
}