Pith Number

pith:6MH7FFCD

pith:2016:6MH7FFCDD3J35Q5LZQFINXTTKG

not attested not anchored not stored refs pending

Callias-type operators in $C^\ast$-algebras and positive scalar curvature on noncompact manifolds

Simone Cecchini

arxiv:1611.01800 v3 · 2016-11-06 · math.DG · math.GT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MH7FFCDD3J35Q5LZQFINXTTKG}

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	2026-05-18T00:20:17.621145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f30ff294431ed3bec3abcc0a86de73518a4f84384a0cb165b70687db56ed5d47

Aliases

arxiv: 1611.01800 · arxiv_version: 1611.01800v3 · doi: 10.48550/arxiv.1611.01800 · pith_short_12: 6MH7FFCDD3J3 · pith_short_16: 6MH7FFCDD3J35Q5L · pith_short_8: 6MH7FFCD

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/6MH7FFCDD3J35Q5LZQFINXTTKG \
  | 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: f30ff294431ed3bec3abcc0a86de73518a4f84384a0cb165b70687db56ed5d47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f0d7c2a59e5ab78ac6b31ad29a5a1e4bacd8b0808a3698eec5d4d27a12de4bd",
    "cross_cats_sorted": [
      "math.GT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-06T16:06:12Z",
    "title_canon_sha256": "ec874df33eb4fa54392e5527ba81a804332d9b1492f6e7a335cb43f141bc32c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01800",
    "kind": "arxiv",
    "version": 3
  }
}