Pith Number

pith:3XSOEKLH

pith:2014:3XSOEKLHH634JZSEK6Q3YDLD3W

not attested not anchored not stored refs pending

The Li-Yau inequality and applications under a curvature-dimension condition

Dominique Bakry (IMT), Fran\c{c}ois Bolley (LPMA), Ivan Gentil (ICJ)

arxiv:1412.5165 v3 · 2014-12-12 · math.DG · math.AP · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XSOEKLHH634JZSEK6Q3YDLD3W}

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	2026-05-18T01:10:43.190198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde4e229673fb7c4e64457a1bc0d63dd89766e7abb4e9f20a45fbd10e27c30fd

Aliases

arxiv: 1412.5165 · arxiv_version: 1412.5165v3 · doi: 10.48550/arxiv.1412.5165 · pith_short_12: 3XSOEKLHH634 · pith_short_16: 3XSOEKLHH634JZSE · pith_short_8: 3XSOEKLH

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/3XSOEKLHH634JZSEK6Q3YDLD3W \
  | 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: dde4e229673fb7c4e64457a1bc0d63dd89766e7abb4e9f20a45fbd10e27c30fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1887b1b14f218a51e279ab73854240dc373d89c0080ca9ef6a28764a7a633f7",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-12T08:36:31Z",
    "title_canon_sha256": "4d98dcc95f53eeeb5a7d7786e11e19a6110ef971c2eb5c1dc337effc965b27ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5165",
    "kind": "arxiv",
    "version": 3
  }
}