Pith Number

pith:UIDVRJSY

pith:2012:UIDVRJSYYE76KRZDLGUUMW4AFG

not attested not anchored not stored refs pending

An information-theoretic proof of Nash's inequality

Giuseppe Toscani

arxiv:1206.2130 v2 · 2012-06-11 · cs.IT · math-ph · math.FA · math.IT · 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{UIDVRJSYYE76KRZDLGUUMW4AFG}

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	2026-05-18T03:51:13.878494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a20758a658c13fe5472359a9465b8029b18d6d2af566b16afa735c4f3c446174

Aliases

arxiv: 1206.2130 · arxiv_version: 1206.2130v2 · doi: 10.48550/arxiv.1206.2130 · pith_short_12: UIDVRJSYYE76 · pith_short_16: UIDVRJSYYE76KRZD · pith_short_8: UIDVRJSY

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/UIDVRJSYYE76KRZDLGUUMW4AFG \
  | 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: a20758a658c13fe5472359a9465b8029b18d6d2af566b16afa735c4f3c446174

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06622ffc76ad3d156fa94036c0119d13bcf3e662924bb6800874febe69a076e2",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-06-11T08:44:54Z",
    "title_canon_sha256": "e82f0d4465c1c2f364be02a51ed3a71283701c852dca3c98e9fc82d1b462cf39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2130",
    "kind": "arxiv",
    "version": 2
  }
}