Pith Number

pith:PI6HDRE3

pith:2026:PI6HDRE3JNGRKECGMOL5L3OFV3

not attested not anchored not stored refs pending

The Lp centro-sectional Minkowski problem

Jiaqian Liu, Karoly J. Boroczky, Renqing You

arxiv:2606.25405 v1 · 2026-06-24 · 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{PI6HDRE3JNGRKECGMOL5L3OFV3}

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	2026-06-25T01:18:04.499928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3c71c49b4b4d1510466397d5edc5aecb8799759b0071bea10f02ad2d0f299a

Aliases

arxiv: 2606.25405 · arxiv_version: 2606.25405v1 · doi: 10.48550/arxiv.2606.25405 · pith_short_12: PI6HDRE3JNGR · pith_short_16: PI6HDRE3JNGRKECG · pith_short_8: PI6HDRE3

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/PI6HDRE3JNGRKECGMOL5L3OFV3 \
  | 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: 7a3c71c49b4b4d1510466397d5edc5aecb8799759b0071bea10f02ad2d0f299a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c467786ef0e7029f106d2514360513533cdfd048afc3905a311d56285e587428",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-24T05:04:44Z",
    "title_canon_sha256": "e9505afd836749c21ebab631d7561c23edcfe8ee351bfdc2317f6908d4eaf38f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25405",
    "kind": "arxiv",
    "version": 1
  }
}