Pith Number

pith:QFVLWE65

pith:2013:QFVLWE65JISI6HEW4P7YJYVZ7G

not attested not anchored not stored refs pending

Dimension free Harnack inequalities on $\RCD(K, \infty)$ spaces

Huaiqian Li

arxiv:1308.6129 v5 · 2013-08-28 · 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{QFVLWE65JISI6HEW4P7YJYVZ7G}

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	2026-05-18T02:07:32.173920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

816abb13dd4a248f1c96e3ff84e2b9f9a64a68a7e638b4654f9ebbe4653f3e84

Aliases

arxiv: 1308.6129 · arxiv_version: 1308.6129v5 · doi: 10.48550/arxiv.1308.6129 · pith_short_12: QFVLWE65JISI · pith_short_16: QFVLWE65JISI6HEW · pith_short_8: QFVLWE65

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/QFVLWE65JISI6HEW4P7YJYVZ7G \
  | 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: 816abb13dd4a248f1c96e3ff84e2b9f9a64a68a7e638b4654f9ebbe4653f3e84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b9b768d4830b400551d86dbf3ea4d2bef380de893ad6ddbf619ece17c66e996",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-28T11:15:17Z",
    "title_canon_sha256": "37a2279aee5c2c8911e2d9f0e56a5834e50f52f9e5b21be0c99555ff81213be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6129",
    "kind": "arxiv",
    "version": 5
  }
}