Pith Number

pith:BN5FUWLM

pith:2016:BN5FUWLML5QWDRWWWSIZRHSMHM

not attested not anchored not stored refs pending

Pointwise H\"older Exponents of the Complex Analogues of the Takagi Function in Random Complex Dynamics

Hiroki Sumi, Johannes Jaerisch

arxiv:1603.08744 v5 · 2016-03-29 · math.DS · math.CV · 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{BN5FUWLML5QWDRWWWSIZRHSMHM}

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	2026-05-18T00:44:19.873847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7a5a596c5f6161c6d6b491989e4c3b2acbff7953e65cf320336fe9e9017589

Aliases

arxiv: 1603.08744 · arxiv_version: 1603.08744v5 · doi: 10.48550/arxiv.1603.08744 · pith_short_12: BN5FUWLML5QW · pith_short_16: BN5FUWLML5QWDRWW · pith_short_8: BN5FUWLM

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/BN5FUWLML5QWDRWWWSIZRHSMHM \
  | 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: 0b7a5a596c5f6161c6d6b491989e4c3b2acbff7953e65cf320336fe9e9017589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b3e1abca43608833c9975f5590b1feb91c4f1dabced8556924f990fef4c777",
    "cross_cats_sorted": [
      "math.CV",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-29T12:34:59Z",
    "title_canon_sha256": "3a84c75d677b62fb08eb6c00b384cfc195c52279e02d9bade7afa74483d201d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08744",
    "kind": "arxiv",
    "version": 5
  }
}