Pith Number

pith:SGUVB4FY

pith:2015:SGUVB4FYU6TFDBELNF6KNTBSBS

not attested not anchored not stored refs pending

Multifractal analysis of the Brjuno function

Bruno Martin, St\'ephane Jaffard

arxiv:1512.08932 v2 · 2015-12-30 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGUVB4FYU6TFDBELNF6KNTBSBS}

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	2026-05-18T00:30:49.231688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91a950f0b8a7a651848b697ca6cc320ca703e608f908db651a8a9e143f3d7d5b

Aliases

arxiv: 1512.08932 · arxiv_version: 1512.08932v2 · doi: 10.48550/arxiv.1512.08932 · pith_short_12: SGUVB4FYU6TF · pith_short_16: SGUVB4FYU6TFDBEL · pith_short_8: SGUVB4FY

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/SGUVB4FYU6TFDBELNF6KNTBSBS \
  | 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: 91a950f0b8a7a651848b697ca6cc320ca703e608f908db651a8a9e143f3d7d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ec3f3b8b8c19488e1cadbd64bf9dcfe5f7754a8550ccc2eb0187d13e38a83bb",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-30T13:12:59Z",
    "title_canon_sha256": "fb3020342bb94aca93410f43251e9ae8effd974d61a68b97b8eaa00a0ef14d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08932",
    "kind": "arxiv",
    "version": 2
  }
}