Pith Number

pith:K6UASJ5X

pith:2017:K6UASJ5XDUOS4EXQADKU37262W

not attested not anchored not stored refs pending

Sharp geometric inequalities for the general $p$-affine capacity

Deping Ye, Han Hong

arxiv:1705.07482 v1 · 2017-05-21 · math.FA · math.DG · 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{K6UASJ5XDUOS4EXQADKU37262W}

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	2026-05-18T00:44:05.455074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57a80927b71d1d2e12f000d54dff5ed5a37ec3c595716364aed4ffdea76c5ad4

Aliases

arxiv: 1705.07482 · arxiv_version: 1705.07482v1 · doi: 10.48550/arxiv.1705.07482 · pith_short_12: K6UASJ5XDUOS · pith_short_16: K6UASJ5XDUOS4EXQ · pith_short_8: K6UASJ5X

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/K6UASJ5XDUOS4EXQADKU37262W \
  | 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: 57a80927b71d1d2e12f000d54dff5ed5a37ec3c595716364aed4ffdea76c5ad4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0666d65185f9a12f82e5662e69c87ac87478da23a6a03dbc3c25dfba8294163e",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-21T17:55:05Z",
    "title_canon_sha256": "1a8953fe3739e34a01fc9a301aa86fb5beeba6a76a3c1ea804ee65eae6c533d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07482",
    "kind": "arxiv",
    "version": 1
  }
}