Pith Number

pith:Q4QJB7R5

pith:2012:Q4QJB7R5ED4ZBVXC7ZHPXO2CFZ

not attested not anchored not stored refs pending

On functions of bounded $\Lambda$-variation and integral smoothness

Martin Lind

arxiv:1212.5402 v1 · 2012-12-21 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4QJB7R5ED4ZBVXC7ZHPXO2CFZ}

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	2026-05-18T01:39:55.469899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872090fe3d20f990d6e2fe4efbbb422e4251a30dfc28c56cee595ad98c787b0c

Aliases

arxiv: 1212.5402 · arxiv_version: 1212.5402v1 · doi: 10.48550/arxiv.1212.5402 · pith_short_12: Q4QJB7R5ED4Z · pith_short_16: Q4QJB7R5ED4ZBVXC · pith_short_8: Q4QJB7R5

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/Q4QJB7R5ED4ZBVXC7ZHPXO2CFZ \
  | 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: 872090fe3d20f990d6e2fe4efbbb422e4251a30dfc28c56cee595ad98c787b0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34e8ae0af15af84501acf477c65f1ef4b149bb7e35292f2f749e25ca76f1ac9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-21T11:23:54Z",
    "title_canon_sha256": "4f4cc8ede5561c3d9668daa78d2e89880ae5ad718a8cd16e053666efa0f5167f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5402",
    "kind": "arxiv",
    "version": 1
  }
}