Pith Number

pith:LNI45YI4

pith:2023:LNI45YI43K2KGJVBOYOUOPSG7Q

not attested not anchored not stored refs pending

Intrinsic dimensional functional inequalities on model spaces

Alexandros Eskenazis, Yair Shenfeld

arxiv:2303.00784 v3 · 2023-03-01 · math.PR · 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{LNI45YI43K2KGJVBOYOUOPSG7Q}

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	2026-06-04T01:09:36.337106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b51cee11cdab4a326a1761d473e46fc1e595b98d1dbd70af23b4b03e29999e3

Aliases

arxiv: 2303.00784 · arxiv_version: 2303.00784v3 · doi: 10.48550/arxiv.2303.00784 · pith_short_12: LNI45YI43K2K · pith_short_16: LNI45YI43K2KGJVB · pith_short_8: LNI45YI4

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/LNI45YI43K2KGJVBOYOUOPSG7Q \
  | 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: 5b51cee11cdab4a326a1761d473e46fc1e595b98d1dbd70af23b4b03e29999e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6d2a668fb2b724b9301c64e2a7a27df705c6238e8ed0161057e08f4880976b9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-03-01T19:12:49Z",
    "title_canon_sha256": "8e64c8ad48e178161ed03e3e7b0f13611afeff1a93242879041f092a2be48c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.00784",
    "kind": "arxiv",
    "version": 3
  }
}