Pith Number

pith:BYRGOBGF

pith:2018:BYRGOBGF6LXZ7BER6NT5INPGYA

not attested not anchored not stored refs pending

Gradient estimates, Bakry-Emery Ricci curvature and ellipticity for unbounded graph Laplacians

Florentin M\"unch, Matthias Keller

arxiv:1807.10181 v2 · 2018-07-26 · 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{BYRGOBGF6LXZ7BER6NT5INPGYA}

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	2026-07-05T01:53:35.370751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e226704c5f2ef9f8491f367d435e6c016d1e657b1e6c00344c37b47fac843b9

Aliases

arxiv: 1807.10181 · arxiv_version: 1807.10181v2 · doi: 10.48550/arxiv.1807.10181 · pith_short_12: BYRGOBGF6LXZ · pith_short_16: BYRGOBGF6LXZ7BER · pith_short_8: BYRGOBGF

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/BYRGOBGF6LXZ7BER6NT5INPGYA \
  | 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: 0e226704c5f2ef9f8491f367d435e6c016d1e657b1e6c00344c37b47fac843b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49c9f2de98b43c53f2021daefb7ab16df8ec331c151c75bd2c42b39c75285606",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-07-26T14:59:25Z",
    "title_canon_sha256": "4177b55657edf2abf81fe599f0d4fd111c6150f36a56a24deeb448e52fdd0c1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10181",
    "kind": "arxiv",
    "version": 2
  }
}