Pith Number

pith:XUE3UDSE

pith:2022:XUE3UDSE3BBSEQJS5UV43LOQZT

not attested not anchored not stored refs pending

Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds

Daniele Semola, Enrico Pasqualetto, Gioacchino Antonelli, Marco Pozzetta

arxiv:2201.04916 v3 · 2022-01-13 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUE3UDSE3BBSEQJS5UV43LOQZT}

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

A sharp spectral splitting theorem

Receipt and verification

First computed	2026-07-05T10:41:43.539679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd09ba0e44d843224132ed2bcdadd0ccccd4902acc96a7c7bfa039dafb53768a

Aliases

arxiv: 2201.04916 · arxiv_version: 2201.04916v3 · doi: 10.48550/arxiv.2201.04916 · pith_short_12: XUE3UDSE3BBS · pith_short_16: XUE3UDSE3BBSEQJS · pith_short_8: XUE3UDSE

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/XUE3UDSE3BBSEQJS5UV43LOQZT \
  | 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: bd09ba0e44d843224132ed2bcdadd0ccccd4902acc96a7c7bfa039dafb53768a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b55f13bab184b363b9b565d8d5f88d149168ec505e1e3e154afc70ba0b30230",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-01-13T12:15:05Z",
    "title_canon_sha256": "cc12611b32c2e6a2ddaef2d67452aaf3db7a233e00f010ddf04eaefd95f66dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.04916",
    "kind": "arxiv",
    "version": 3
  }
}