Pith Number

pith:DQJL5XEU

pith:2016:DQJL5XEUXKMZUAXZ6K6PHFXOLE

not attested not anchored not stored refs pending

Sectional and intermediate Ricci curvature lower bounds via Optimal Transport

Andrea Mondino, Christian Ketterer

arxiv:1610.03339 v3 · 2016-10-11 · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQJL5XEUXKMZUAXZ6K6PHFXOLE}

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	2026-05-17T23:46:55.828738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c12bedc94ba999a02f9f2bcf396ee592d2878360a459c180d22247b20b279e6

Aliases

arxiv: 1610.03339 · arxiv_version: 1610.03339v3 · doi: 10.48550/arxiv.1610.03339 · pith_short_12: DQJL5XEUXKMZ · pith_short_16: DQJL5XEUXKMZUAXZ · pith_short_8: DQJL5XEU

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/DQJL5XEUXKMZUAXZ6K6PHFXOLE \
  | 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: 1c12bedc94ba999a02f9f2bcf396ee592d2878360a459c180d22247b20b279e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc86a1030d29efe952952ba7863e7f36095ba0a17a08ca8fec94265941f2178f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-11T13:52:07Z",
    "title_canon_sha256": "44c98ae47d4072cdc37270be1ab7917c7936295bf5aa1af187649c0f9998a0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03339",
    "kind": "arxiv",
    "version": 3
  }
}