Pith Number

pith:GEIZSRKP

pith:2012:GEIZSRKP5XTF5XAMXBRKU5MVXE

not attested not anchored not stored refs pending

Transference Principles for Log-Sobolev and Spectral-Gap with Applications to Conservative Spin Systems

Emanuel Milman, Franck Barthe

arxiv:1202.5318 v1 · 2012-02-23 · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GEIZSRKP5XTF5XAMXBRKU5MVXE}

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	2026-05-18T01:58:20.115169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

311199454fede65edc0cb862aa7595b90eec54520d856b413304e50d3cade017

Aliases

arxiv: 1202.5318 · arxiv_version: 1202.5318v1 · doi: 10.48550/arxiv.1202.5318 · pith_short_12: GEIZSRKP5XTF · pith_short_16: GEIZSRKP5XTF5XAM · pith_short_8: GEIZSRKP

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/GEIZSRKP5XTF5XAMXBRKU5MVXE \
  | 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: 311199454fede65edc0cb862aa7595b90eec54520d856b413304e50d3cade017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d56341bc9ecd64e184fb82777f5763d3e792b598462d36d42896a7ff448fe72",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-23T21:01:22Z",
    "title_canon_sha256": "8548617b7ca875866164c780b82c0a85648fc8a11313f8c1c7dffb86eff89567"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5318",
    "kind": "arxiv",
    "version": 1
  }
}