Pith Number

pith:EO2PUCB6

pith:2015:EO2PUCB6ISG5QPQC4WWADYHXWB

not attested not anchored not stored refs pending

A Measure Zero Universal Differentiability Set in the Heisenberg Group

Andrea Pinamonti, Gareth Speight

arxiv:1505.07986 v2 · 2015-05-29 · 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{EO2PUCB6ISG5QPQC4WWADYHXWB}

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	2026-05-18T01:16:02.783929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23b4fa083e448dd83e02e5ac01e0f7b0660ab2c002f1f7f8b0fba10d2e8a2cf2

Aliases

arxiv: 1505.07986 · arxiv_version: 1505.07986v2 · doi: 10.48550/arxiv.1505.07986 · pith_short_12: EO2PUCB6ISG5 · pith_short_16: EO2PUCB6ISG5QPQC · pith_short_8: EO2PUCB6

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/EO2PUCB6ISG5QPQC4WWADYHXWB \
  | 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: 23b4fa083e448dd83e02e5ac01e0f7b0660ab2c002f1f7f8b0fba10d2e8a2cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96970145641e10c5cfabd6d26a4b748c8f3294e0e1a21fd5b90c85c260e2d9eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-29T10:39:11Z",
    "title_canon_sha256": "243cab82f53c9e103d0b68228fca4af6df73742ee9b3846bfa4f5a7fd3445e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07986",
    "kind": "arxiv",
    "version": 2
  }
}