Pith Number

pith:BHKE6NYX

pith:2018:BHKE6NYXUAC36AQBPSNWMLYOFB

not attested not anchored not stored refs pending

On (signed) Takagi-Landsberg functions: $p^{\text{th}}$ variation, maximum, and modulus of continuity

Alexander Schied, Yuliya Mishura

arxiv:1806.05702 v3 · 2018-06-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHKE6NYXUAC36AQBPSNWMLYOFB}

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	2026-05-17T23:41:53.994566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09d44f3717a005bf02017c9b662f0e286af0cf8956b98cf2ca17d90de26eda74

Aliases

arxiv: 1806.05702 · arxiv_version: 1806.05702v3 · doi: 10.48550/arxiv.1806.05702 · pith_short_12: BHKE6NYXUAC3 · pith_short_16: BHKE6NYXUAC36AQB · pith_short_8: BHKE6NYX

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/BHKE6NYXUAC36AQBPSNWMLYOFB \
  | 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: 09d44f3717a005bf02017c9b662f0e286af0cf8956b98cf2ca17d90de26eda74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77236982eed8bb4e616fff6d1b9c35078f768f1483af8c82702076a692f14de7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-14T18:48:59Z",
    "title_canon_sha256": "78a8aa3369dcebc590f30a7a749d90ff87da66740e69d8817eed5fe4310b2eb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05702",
    "kind": "arxiv",
    "version": 3
  }
}