Pith Number

pith:DC5DMQD7

pith:2006:DC5DMQD7IYIAFDWUBFED54JQGI

not attested not anchored not stored refs pending

Isoperimetry between exponential and Gaussian

Cyril Roberto (LAMA), Franck Barthe (LSProba), Modal'x), Patrick Cattiaux (CMAP

arxiv:math/0601475 v2 · 2006-01-19 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DC5DMQD7IYIAFDWUBFED54JQGI}

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	2026-07-04T14:59:05.345334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18ba36407f4610028ed409483ef130323ff02b979b034266b470fefd73a78be1

Aliases

arxiv: math/0601475 · arxiv_version: math/0601475v2 · doi: 10.48550/arxiv.math/0601475 · pith_short_12: DC5DMQD7IYIA · pith_short_16: DC5DMQD7IYIAFDWU · pith_short_8: DC5DMQD7

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/DC5DMQD7IYIAFDWUBFED54JQGI \
  | 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: 18ba36407f4610028ed409483ef130323ff02b979b034266b470fefd73a78be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33cd6939d031d0a28b0e3d8f385161883829da4ef5c406028905a3bf3ec389ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-01-19T15:41:37Z",
    "title_canon_sha256": "c101654f44d09d08509e4a1fb6d27c936e4c78c96e32d13d65207e3099f536ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601475",
    "kind": "arxiv",
    "version": 2
  }
}