Pith Number

pith:7TOOH22P

pith:2015:7TOOH22PVSP3VTUH3GQBK2C7GP

not attested not anchored not stored refs pending

Cheeger-Gromov convergence in a conformal setting

Boris Botvinnik, Olaf M\"uller

arxiv:1512.07651 v4 · 2015-12-23 · 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{7TOOH22PVSP3VTUH3GQBK2C7GP}

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	2026-05-18T00:08:24.169451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcdce3eb4fac9fbace87d9a015685f33d9001ba98c0e030e335cece8edce9884

Aliases

arxiv: 1512.07651 · arxiv_version: 1512.07651v4 · doi: 10.48550/arxiv.1512.07651 · pith_short_12: 7TOOH22PVSP3 · pith_short_16: 7TOOH22PVSP3VTUH · pith_short_8: 7TOOH22P

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/7TOOH22PVSP3VTUH3GQBK2C7GP \
  | 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: fcdce3eb4fac9fbace87d9a015685f33d9001ba98c0e030e335cece8edce9884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44de57f7570fb2f65a6c1d4fd00d98d7e232281f04c6bfc973d48b18e66c1b6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-23T22:17:44Z",
    "title_canon_sha256": "bbfc7b89b1927a81522d857f405c4fad142734a79f8800f0e65715b4bd6c00dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07651",
    "kind": "arxiv",
    "version": 4
  }
}