Pith Number

pith:WT2ECM5T

pith:2012:WT2ECM5TQWKD6V57N6JEEFUNQG

not attested not anchored not stored refs pending

Amount of failure of upper-semicontinuity of entropy in noncompact rank one situations, and Hausdorff dimension

Anke D. Pohl, Shirali Kadyrov

arxiv:1211.3019 v1 · 2012-11-13 · 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{WT2ECM5TQWKD6V57N6JEEFUNQG}

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	2026-05-18T03:40:52.060600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f44133b385943f57bf6f9242168d81ba37cf493aedc1dc64c7496356392abe

Aliases

arxiv: 1211.3019 · arxiv_version: 1211.3019v1 · doi: 10.48550/arxiv.1211.3019 · pith_short_12: WT2ECM5TQWKD · pith_short_16: WT2ECM5TQWKD6V57 · pith_short_8: WT2ECM5T

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/WT2ECM5TQWKD6V57N6JEEFUNQG \
  | 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: b4f44133b385943f57bf6f9242168d81ba37cf493aedc1dc64c7496356392abe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a2c72b8ec2359081a2c027b0eb28f9aebfca6b15d5818500d2dbc98055458c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-13T15:23:00Z",
    "title_canon_sha256": "c240795319f22afb8743295625af2083c17e563a51209e26c649694241b86be8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3019",
    "kind": "arxiv",
    "version": 1
  }
}