Pith Number

pith:LMGZGFCH

pith:2013:LMGZGFCHP7MWU43MP3CSZD4G3O

not attested not anchored not stored refs pending

Li-Yau and Harnack type inequalities in $RCD^*(K,N)$ metric measure spaces

Andrea Mondino, Nicola Garofalo

arxiv:1306.0494 v1 · 2013-06-03 · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMGZGFCHP7MWU43MP3CSZD4G3O}

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	2026-05-17T23:46:56.071680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b0d9314477fd96a736c7ec52c8f86db898d5a65e28609f6f6597523c5d51c50

Aliases

arxiv: 1306.0494 · arxiv_version: 1306.0494v1 · doi: 10.48550/arxiv.1306.0494 · pith_short_12: LMGZGFCHP7MW · pith_short_16: LMGZGFCHP7MWU43M · pith_short_8: LMGZGFCH

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/LMGZGFCHP7MWU43MP3CSZD4G3O \
  | 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: 5b0d9314477fd96a736c7ec52c8f86db898d5a65e28609f6f6597523c5d51c50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3506b211bc182b289ecc300024141caf759e6b37a5243ef4de2c0bb2495dabc",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-03T16:50:09Z",
    "title_canon_sha256": "aeec92fd53d0fc285565cae410345a61679f4f5f295e8954757e112ed1d8dea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0494",
    "kind": "arxiv",
    "version": 1
  }
}