Pith Number

pith:4OGWPBU7

pith:2015:4OGWPBU7VO62VHEWTOCV72P53A

not attested not anchored not stored refs pending

Trace and extension theorems for functions of bounded variation

Luk\'a\v{s} Mal\'y, Marie Snipes, Nageswari Shanmugalingam

arxiv:1511.04503 v2 · 2015-11-14 · math.MG · 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{4OGWPBU7VO62VHEWTOCV72P53A}

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	2026-05-18T01:11:17.996120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38d67869fabbdaa9c969b855fe9fdd813672ea708664432da51c4a669bce566

Aliases

arxiv: 1511.04503 · arxiv_version: 1511.04503v2 · doi: 10.48550/arxiv.1511.04503 · pith_short_12: 4OGWPBU7VO62 · pith_short_16: 4OGWPBU7VO62VHEW · pith_short_8: 4OGWPBU7

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/4OGWPBU7VO62VHEWTOCV72P53A \
  | 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: e38d67869fabbdaa9c969b855fe9fdd813672ea708664432da51c4a669bce566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2b07ec0e140f6e7295ce6d7e1d145e36e5455ff5d8b7caa4b67aa14e98dd7a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-11-14T04:20:29Z",
    "title_canon_sha256": "1c8ce794e89ae6a8c7a6c2a674436db734dab01508f9062ea5ef02e30709f70f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04503",
    "kind": "arxiv",
    "version": 2
  }
}