Pith Number

pith:QYE6IYWK

pith:2026:QYE6IYWKRKSFXLS3HUNR5F3S2L

not attested not anchored not stored refs pending

Entropies of compact subsets and supported measures

Qiang Huo, Xiangtong Wang

arxiv:2608.09702 v1 · 2026-08-10 · 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{QYE6IYWKRKSFXLS3HUNR5F3S2L}

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	2026-08-11T02:24:50.361708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8609e462ca8aa45bae5b3d1b1e9772d2fd2ed96afabb3299da9b03a8fdfd9c9c

Aliases

arxiv: 2608.09702 · arxiv_version: 2608.09702v1 · doi: 10.48550/arxiv.2608.09702 · pith_short_12: QYE6IYWKRKSF · pith_short_16: QYE6IYWKRKSFXLS3 · pith_short_8: QYE6IYWK

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/QYE6IYWKRKSFXLS3HUNR5F3S2L \
  | 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: 8609e462ca8aa45bae5b3d1b1e9772d2fd2ed96afabb3299da9b03a8fdfd9c9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "548eac4092f6c0b8bb87634c643e583494242f1664c76e6f7de79c8f0b09cfe0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-08-10T15:06:26Z",
    "title_canon_sha256": "be19e82b280d56b3695fcb01e63a2455a2919ecfc0f140abf36c8765f6617838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09702",
    "kind": "arxiv",
    "version": 1
  }
}