Pith Number

pith:NDIXMBXV

pith:2008:NDIXMBXVLKCPFO44RLQQF4DXAH

not attested not anchored not stored refs pending

High-Dimensional Menger-Type Curvatures - Part I: Geometric Multipoles and Multiscale Inequalities

G. Lerman, J. T. Whitehouse

arxiv:0805.1425 v2 · 2008-05-09 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDIXMBXVLKCPFO44RLQQF4DXAH}

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	2026-05-18T03:44:03.072176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d17606f55a84f2bb9c8ae102f07701efea8a2a99caeb7004ff6405cec462b1

Aliases

arxiv: 0805.1425 · arxiv_version: 0805.1425v2 · doi: 10.48550/arxiv.0805.1425 · pith_short_12: NDIXMBXVLKCP · pith_short_16: NDIXMBXVLKCPFO44 · pith_short_8: NDIXMBXV

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/NDIXMBXVLKCPFO44RLQQF4DXAH \
  | 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: 68d17606f55a84f2bb9c8ae102f07701efea8a2a99caeb7004ff6405cec462b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2617b24609ea7b5ecdaeecb3df349f785a1bbc562eab4977ff0c0ec7bc5efdf8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-05-09T21:30:17Z",
    "title_canon_sha256": "8da94dffc0889bbfcc1f6557db2c0cf9c90e9c3abfa0131d311e3afe61780b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1425",
    "kind": "arxiv",
    "version": 2
  }
}