Pith Number

pith:P3O757SA

pith:2010:P3O757SA22PT2XZD444YZ7GPID

not attested not anchored not stored refs pending

Integral Menger curvature for sets of arbitrary dimension and codimension

S{\l}awomir Kolasi\'nski

arxiv:1011.2008 v6 · 2010-11-09 · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3O757SA22PT2XZD444YZ7GPID}

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	2026-05-18T02:23:37.229926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eddfefe40d69f3d5f23e7398cfccf40dcd639b25761350947749b1f871bf368

Aliases

arxiv: 1011.2008 · arxiv_version: 1011.2008v6 · doi: 10.48550/arxiv.1011.2008 · pith_short_12: P3O757SA22PT · pith_short_16: P3O757SA22PT2XZD · pith_short_8: P3O757SA

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/P3O757SA22PT2XZD444YZ7GPID \
  | 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: 7eddfefe40d69f3d5f23e7398cfccf40dcd639b25761350947749b1f871bf368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7dc153ac2d31c2f08fa938be810611dc512bef5aef1d7ca07e0d0f59f883dec",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-09T08:56:14Z",
    "title_canon_sha256": "1c4aaaf3eefad8b9d3ea5aeaeac578b45d3885fad3dabb1f63db24152016e94b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2008",
    "kind": "arxiv",
    "version": 6
  }
}