Pith Number

pith:CHTD7RUX

pith:2021:CHTD7RUXJBNBJFTFMBVRHW7ONN

not attested not anchored not stored refs pending

$L_p$ John ellipsoids for log-concave functions

Congli Yang, Fangwei Chen, Jianbo Fang, Miao Luo

arxiv:2107.11018 v1 · 2021-07-23 · math.FA · 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{CHTD7RUXJBNBJFTFMBVRHW7ONN}

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	2026-07-05T03:00:12.447650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11e63fc697485a149665606b13dbee6b6364d711345b396bd1c49c7262a7169e

Aliases

arxiv: 2107.11018 · arxiv_version: 2107.11018v1 · doi: 10.48550/arxiv.2107.11018 · pith_short_12: CHTD7RUXJBNB · pith_short_16: CHTD7RUXJBNBJFTF · pith_short_8: CHTD7RUX

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/CHTD7RUXJBNBJFTFMBVRHW7ONN \
  | 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: 11e63fc697485a149665606b13dbee6b6364d711345b396bd1c49c7262a7169e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a004279945e8ff2cb2f08c91b2fb415e2f5c68bde532ac163cf384016bccec8b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-07-23T03:47:32Z",
    "title_canon_sha256": "a33ad4ab674e62befd5f75041b2020e1b703ff965225ac8ed5a5069fa6d0d7f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11018",
    "kind": "arxiv",
    "version": 1
  }
}