Pith Number

pith:SRHU6YSX

pith:2024:SRHU6YSXGFFP36XSAEJVZNXZR4

not attested not anchored not stored refs pending

Poincar\'{e} inequality and energy of separating sets

Emanuele Caputo, Nicola Cavallucci

arxiv:2401.02762 v1 · 2024-01-05 · math.MG · math.DG · 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{SRHU6YSXGFFP36XSAEJVZNXZR4}

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.

Cited by

1 paper in Pith

Geometric characterizations of ${\sf PI}$ spaces: an overview of some modern techniques

Receipt and verification

First computed	2026-07-05T07:30:30.792483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

944f4f6257314afdfaf201135cb6f98f01e1a36dbc46b0f00d97b95cb098f9fd

Aliases

arxiv: 2401.02762 · arxiv_version: 2401.02762v1 · doi: 10.48550/arxiv.2401.02762 · pith_short_12: SRHU6YSXGFFP · pith_short_16: SRHU6YSXGFFP36XS · pith_short_8: SRHU6YSX

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/SRHU6YSXGFFP36XSAEJVZNXZR4 \
  | 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: 944f4f6257314afdfaf201135cb6f98f01e1a36dbc46b0f00d97b95cb098f9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b56c46e8858a9e5fca50a652414958488601ea1dba72876c783ec156236f5ac",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-01-05T11:35:46Z",
    "title_canon_sha256": "4b9d40660d35746802adcf5ffd925d0278d89e9df6c3ac4c6743cf5b94a662cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.02762",
    "kind": "arxiv",
    "version": 1
  }
}