Pith Number

pith:4KMN6RVV

pith:2011:4KMN6RVVHXBDZXY2PBQNBY422K

not attested not anchored not stored refs pending

Comparisons of relative BV-capacities and Sobolev capacity in metric spaces

Heikki Hakkarainen, Nageswari Shanmugalingam

arxiv:1104.0797 v1 · 2011-04-05 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KMN6RVVHXBDZXY2PBQNBY422K}

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	2026-05-18T04:25:02.501294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e298df46b53dc23cdf1a7860d0e39ad299f264328eed8097c31bc27a7f784b28

Aliases

arxiv: 1104.0797 · arxiv_version: 1104.0797v1 · doi: 10.48550/arxiv.1104.0797 · pith_short_12: 4KMN6RVVHXBD · pith_short_16: 4KMN6RVVHXBDZXY2 · pith_short_8: 4KMN6RVV

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/4KMN6RVVHXBDZXY2PBQNBY422K \
  | 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: e298df46b53dc23cdf1a7860d0e39ad299f264328eed8097c31bc27a7f784b28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0146c1da20cbd143f296d64609d4be94aeaeceee33d09f101bdde12df98bac22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-04-05T10:07:51Z",
    "title_canon_sha256": "8f55a7038de66685bc2a9c25eeaf760b1a18c726b0c41e37b33c2dcd4985d36f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0797",
    "kind": "arxiv",
    "version": 1
  }
}