Pith Number

pith:ZPFASQIX

pith:2017:ZPFASQIXJ4L23VNL447T26572X

not attested not anchored not stored refs pending

Recognizing the flat torus among $RCD^*(0,N)$ spaces via the study of the first cohomology group

Chiara Rigoni, Nicola Gigli

arxiv:1705.04466 v1 · 2017-05-12 · 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{ZPFASQIXJ4L23VNL447T26572X}

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	2026-05-18T00:44:38.024811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbca0941174f17add5abe73f3d7bbfd5e6b92b141a1aa820ff6e56e8cb273aad

Aliases

arxiv: 1705.04466 · arxiv_version: 1705.04466v1 · doi: 10.48550/arxiv.1705.04466 · pith_short_12: ZPFASQIXJ4L2 · pith_short_16: ZPFASQIXJ4L23VNL · pith_short_8: ZPFASQIX

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/ZPFASQIXJ4L23VNL447T26572X \
  | 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: cbca0941174f17add5abe73f3d7bbfd5e6b92b141a1aa820ff6e56e8cb273aad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177833b093a1a3762cb7b831319914a773828b673b68c73c64a1431eafd37762",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-12T08:25:48Z",
    "title_canon_sha256": "954e57589fe74db3be60fc3033815933ce27ef9627cec3328631fa0e29c77da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04466",
    "kind": "arxiv",
    "version": 1
  }
}