Pith Number

pith:RO4QQKPN

pith:2016:RO4QQKPN3M2RE3ZKHVZOVG7BJE

not attested not anchored not stored refs pending

Sharp dimension free bound for the Bakry-Riesz vector

Kamilia Dahmani

arxiv:1611.07696 v1 · 2016-11-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RO4QQKPN3M2RE3ZKHVZOVG7BJE}

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	2026-05-18T00:57:00.064941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bb90829eddb35126f2a3d72ea9be14913e78a7730116f773af5cf093c16b345

Aliases

arxiv: 1611.07696 · arxiv_version: 1611.07696v1 · doi: 10.48550/arxiv.1611.07696 · pith_short_12: RO4QQKPN3M2R · pith_short_16: RO4QQKPN3M2RE3ZK · pith_short_8: RO4QQKPN

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/RO4QQKPN3M2RE3ZKHVZOVG7BJE \
  | 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: 8bb90829eddb35126f2a3d72ea9be14913e78a7730116f773af5cf093c16b345

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1290d639173330b1385d1ccfa3d02bd9ab4a478f97d534f92b5336e2399be7ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-23T08:59:54Z",
    "title_canon_sha256": "def4e4d410c8d90dec0c3b8409ffe4d6bcc4e061f8808987f8de9e0cb1a9532d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07696",
    "kind": "arxiv",
    "version": 1
  }
}