Pith Number

pith:FDA7VJ7Q

pith:2026:FDA7VJ7QMPPLI2HD3DXLKX3RIT

not attested not anchored not stored refs pending

Abundance of minimal measures via entropy and multifractal analysis

Wanshan Lin, Xiaobo Hou, Xueting Tian, Xutong Zhao, Yi Yuan

arxiv:2606.28771 v1 · 2026-06-27 · 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{FDA7VJ7QMPPLI2HD3DXLKX3RIT}

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	2026-06-30T01:16:51.341458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28c1faa7f063deb468e3d8eeb55f7144fbf74c3311cb0fbdf14d828d26233e65

Aliases

arxiv: 2606.28771 · arxiv_version: 2606.28771v1 · doi: 10.48550/arxiv.2606.28771 · pith_short_12: FDA7VJ7QMPPL · pith_short_16: FDA7VJ7QMPPLI2HD · pith_short_8: FDA7VJ7Q

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/FDA7VJ7QMPPLI2HD3DXLKX3RIT \
  | 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: 28c1faa7f063deb468e3d8eeb55f7144fbf74c3311cb0fbdf14d828d26233e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d263d4e5b563a39fe3c322f37eeec281a6a2458d49766825f95e855957f53c27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-27T06:54:23Z",
    "title_canon_sha256": "b8c4db324d0261537715099be1e671e69e6e3183b8993c012a787f0f376b3a8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28771",
    "kind": "arxiv",
    "version": 1
  }
}