Pith Number

pith:7Y3MK2VF

pith:2017:7Y3MK2VFON7XAPR6OKXI6ZR6EB

not attested not anchored not stored refs pending

The dual Minkowski problem for symmetric convex bodies

Deane Yang, Erwin Lutwak, Gaoyong Zhang, K\'aroly B\"or\"oczky, Yiming Zhao

arxiv:1703.06259 v1 · 2017-03-18 · math.MG · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Y3MK2VFON7XAPR6OKXI6ZR6EB}

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	2026-05-18T00:48:23.454774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe36c56aa5737f703e3e72ae8f663e205da5292af4baaccb34f4c0930deff6b2

Aliases

arxiv: 1703.06259 · arxiv_version: 1703.06259v1 · doi: 10.48550/arxiv.1703.06259 · pith_short_12: 7Y3MK2VFON7X · pith_short_16: 7Y3MK2VFON7XAPR6 · pith_short_8: 7Y3MK2VF

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/7Y3MK2VFON7XAPR6OKXI6ZR6EB \
  | 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: fe36c56aa5737f703e3e72ae8f663e205da5292af4baaccb34f4c0930deff6b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c72c388be0264d5ea5a5b7f859f66545d88f12bb2f98d0e997bac2e4e6a03a",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-03-18T06:30:04Z",
    "title_canon_sha256": "6d736d8d18bd4194220f48421388096d980dee0759258e3575df68748971377a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06259",
    "kind": "arxiv",
    "version": 1
  }
}