Pith Number

pith:3KLIITXA

pith:2010:3KLIITXAO244IBBMXPUZTYY5MY

not attested not anchored not stored refs pending

The Gelfand widths of $\ell_p$-balls for $0<p\leq 1$

Alain Pajor, Holger Rauhut, Simon Foucart, Tino Ullrich

arxiv:1002.0672 v2 · 2010-02-03 · math.FA · cs.IT · math.IT

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

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	2026-05-18T04:33:15.845889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da96844ee076b9c4042cbbe999e31d660504795f8f77b0e8e12cbabcc9f3303f

Aliases

arxiv: 1002.0672 · arxiv_version: 1002.0672v2 · doi: 10.48550/arxiv.1002.0672 · pith_short_12: 3KLIITXAO244 · pith_short_16: 3KLIITXAO244IBBM · pith_short_8: 3KLIITXA

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/3KLIITXAO244IBBMXPUZTYY5MY \
  | 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: da96844ee076b9c4042cbbe999e31d660504795f8f77b0e8e12cbabcc9f3303f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09a65d3362921f3f778ec9116c630a0b637b1c7bacc46206c6bf4316698b040d",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-02-03T09:20:52Z",
    "title_canon_sha256": "d6b3b2af871a658f01309de75d58f7668d0b426a844440bff1602b7d0923ce4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0672",
    "kind": "arxiv",
    "version": 2
  }
}