Pith Number

pith:ZPV3FN25

pith:2011:ZPV3FN253MO2VNS5IH7RJVX5UZ

not attested not anchored not stored refs pending

Centroid Bodies and the Logarithmic Laplace Transform - A Unified Approach

Bo'az Klartag, Emanuel Milman

arxiv:1103.2985 v1 · 2011-03-15 · 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{ZPV3FN253MO2VNS5IH7RJVX5UZ}

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	2026-05-18T04:26:46.097611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbebb2b75ddb1daab65d41ff14d6fda656d35143a9b5f723ea188062265acb8f

Aliases

arxiv: 1103.2985 · arxiv_version: 1103.2985v1 · doi: 10.48550/arxiv.1103.2985 · pith_short_12: ZPV3FN253MO2 · pith_short_16: ZPV3FN253MO2VNS5 · pith_short_8: ZPV3FN25

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/ZPV3FN253MO2VNS5IH7RJVX5UZ \
  | 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: cbebb2b75ddb1daab65d41ff14d6fda656d35143a9b5f723ea188062265acb8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bd763a5a37755560bd887e52d7be5dfd4f32371ed7bf3098de56433978deafa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-15T18:10:04Z",
    "title_canon_sha256": "86409b276b4a617f0923e88e6fa5f0789470f9bf9c63127fb113189666f0a605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2985",
    "kind": "arxiv",
    "version": 1
  }
}