Pith Number

pith:3VX77ANU

pith:2024:3VX77ANU6KLWMHDHTKMFGHBQJD

not attested not anchored not stored refs pending

Mean dimension theory for infinite dimensional Bedford-McMullen sponges

Qiang Huo

arxiv:2412.02278 v2 · 2024-12-03 · 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{3VX77ANU6KLWMHDHTKMFGHBQJD}

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	2026-07-05T09:44:55.346302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd6fff81b4f297661c679a98531c3048f6500efac0c48ca7f07376b79fd675c3

Aliases

arxiv: 2412.02278 · arxiv_version: 2412.02278v2 · doi: 10.48550/arxiv.2412.02278 · pith_short_12: 3VX77ANU6KLW · pith_short_16: 3VX77ANU6KLWMHDH · pith_short_8: 3VX77ANU

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/3VX77ANU6KLWMHDHTKMFGHBQJD \
  | 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: dd6fff81b4f297661c679a98531c3048f6500efac0c48ca7f07376b79fd675c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "763470a2cbc796cbe4df993c7c547f90290298b937b2e93259be425979d18c73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-12-03T08:53:37Z",
    "title_canon_sha256": "b2945b4c079a4de65c5ea5e574c3e2c196cabdef3b599ab7c90ba02643648b42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02278",
    "kind": "arxiv",
    "version": 2
  }
}