Pith Number

pith:XVXWQ6ZD

pith:2015:XVXWQ6ZDDVKOMWT2PZ6LUPDXIV

not attested not anchored not stored refs pending

Reproducing pairs of measurable functions

Camillo TRapani, Jean-Pierre Antoine, Michael Speckbacher

arxiv:1505.04187 v3 · 2015-05-15 · 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{XVXWQ6ZDDVKOMWT2PZ6LUPDXIV}

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	2026-05-18T01:19:30.217030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd6f687b231d54e65a7a7e7cba3c7745712fec7bbb27980555ccfb6511dcfdc6

Aliases

arxiv: 1505.04187 · arxiv_version: 1505.04187v3 · doi: 10.48550/arxiv.1505.04187 · pith_short_12: XVXWQ6ZDDVKO · pith_short_16: XVXWQ6ZDDVKOMWT2 · pith_short_8: XVXWQ6ZD

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/XVXWQ6ZDDVKOMWT2PZ6LUPDXIV \
  | 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: bd6f687b231d54e65a7a7e7cba3c7745712fec7bbb27980555ccfb6511dcfdc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5689efc96ebdeade8f79126e72a6a9e6d1d73815a0619bc78e33d50f0838f2f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-15T15:30:03Z",
    "title_canon_sha256": "b7e0a2dbdd93a97e65bc11f1f87cb71a4ec684adcce195e32c26bd20e5193a25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04187",
    "kind": "arxiv",
    "version": 3
  }
}