Pith Number

pith:CAW2HT6Y

pith:2016:CAW2HT6YG56DNPSRJQRMGA2TA4

not attested not anchored not stored refs pending

Geometric inequalities for manifolds with Ricci curvature in the Kato class

Gilles Carron

arxiv:1612.03027 v1 · 2016-12-09 · 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{CAW2HT6YG56DNPSRJQRMGA2TA4}

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	2026-05-18T00:55:27.631790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

102da3cfd8377c36be514c22c30353070d1428557758ce6054003daef09ac865

Aliases

arxiv: 1612.03027 · arxiv_version: 1612.03027v1 · doi: 10.48550/arxiv.1612.03027 · pith_short_12: CAW2HT6YG56D · pith_short_16: CAW2HT6YG56DNPSR · pith_short_8: CAW2HT6Y

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/CAW2HT6YG56DNPSRJQRMGA2TA4 \
  | 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: 102da3cfd8377c36be514c22c30353070d1428557758ce6054003daef09ac865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc8c0ef552e42a47a1c237ca7198652ea7507f62a92292e61658b5820e05fff3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-09T14:07:02Z",
    "title_canon_sha256": "5ef73e7c4f319da6ce230f9587d1e4dda1fa619bba1f645d98ebf91154760ea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03027",
    "kind": "arxiv",
    "version": 1
  }
}