Pith Number

pith:SOEBGBMR

pith:2009:SOEBGBMRTWHCP7FRN5DJUHXWJK

not attested not anchored not stored refs pending

Integral Menger curvature for surfaces

Heiko von der Mosel, Pawel Strzelecki

arxiv:0911.2095 v2 · 2009-11-11 · math.CA · 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{SOEBGBMRTWHCP7FRN5DJUHXWJK}

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	2026-05-18T04:33:18.111611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93881305919d8e27fcb16f469a1ef64aa44935235c2e61868d7db4ff8229d45c

Aliases

arxiv: 0911.2095 · arxiv_version: 0911.2095v2 · doi: 10.48550/arxiv.0911.2095 · pith_short_12: SOEBGBMRTWHC · pith_short_16: SOEBGBMRTWHCP7FR · pith_short_8: SOEBGBMR

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/SOEBGBMRTWHCP7FRN5DJUHXWJK \
  | 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: 93881305919d8e27fcb16f469a1ef64aa44935235c2e61868d7db4ff8229d45c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59a75ec75161dfd380fca2932f0fe87c4f76dd3b4684a9c34b23c66e51515e37",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-11-11T10:03:57Z",
    "title_canon_sha256": "0d8a4184b4afc2e9e796b39be403976364162cc6ef8529812b1274d684db4fbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2095",
    "kind": "arxiv",
    "version": 2
  }
}