Pith Number

pith:EDCQHE5E

pith:2016:EDCQHE5E4VICVVIHG2GXWLH7RQ

not attested not anchored not stored refs pending

The Kato class on compact manifolds with integral bounds on the negative part of Ricci curvature

Christian Rose, Peter Stollmann

arxiv:1601.07441 v2 · 2016-01-27 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EDCQHE5E4VICVVIHG2GXWLH7RQ}

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	2026-05-18T01:12:59.624716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20c50393a4e5502ad507368d7b2cff8c30c46b92affe874055ac4552e47dad27

Aliases

arxiv: 1601.07441 · arxiv_version: 1601.07441v2 · doi: 10.48550/arxiv.1601.07441 · pith_short_12: EDCQHE5E4VIC · pith_short_16: EDCQHE5E4VICVVIH · pith_short_8: EDCQHE5E

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/EDCQHE5E4VICVVIHG2GXWLH7RQ \
  | 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: 20c50393a4e5502ad507368d7b2cff8c30c46b92affe874055ac4552e47dad27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27f397a07db49bccc83b438f5b0fb31f1d30549d12c9341e010dd76e22c8f992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-27T16:44:36Z",
    "title_canon_sha256": "2d9699fdec098a897af597247d135db9a0daa04e26a1aaf902c7e16079107463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07441",
    "kind": "arxiv",
    "version": 2
  }
}