Pith Number

pith:VKGEA2O6

pith:2024:VKGEA2O6WI2IYFF5UW2X5B6XEK

not attested not anchored not stored refs pending

$L^q$-spectrum of graph-directed self-similar measures that have overlaps and are essentially of finite type

Yuanyuan Xie

arxiv:2410.09459 v1 · 2024-10-12 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKGEA2O6WI2IYFF5UW2X5B6XEK}

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	2026-07-05T09:19:39.517129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa8c4069deb2348c14bda5b57e87d7229aedee19123c89c959630d58be790350

Aliases

arxiv: 2410.09459 · arxiv_version: 2410.09459v1 · doi: 10.48550/arxiv.2410.09459 · pith_short_12: VKGEA2O6WI2I · pith_short_16: VKGEA2O6WI2IYFF5 · pith_short_8: VKGEA2O6

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/VKGEA2O6WI2IYFF5UW2X5B6XEK \
  | 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: aa8c4069deb2348c14bda5b57e87d7229aedee19123c89c959630d58be790350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88bd11f755afe7cfb4f192eecf0214fecde87a501ca6e71374ba29d2b97ed146",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-10-12T09:45:01Z",
    "title_canon_sha256": "1d5c9d30303940cdc8a91423b456d9eb8810178187ee51350661e8c032d1af04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.09459",
    "kind": "arxiv",
    "version": 1
  }
}