Pith Number

pith:XJAUMJOG

pith:2020:XJAUMJOGSIB4QM252CRODIXIQY

not attested not anchored not stored refs pending

The Minkowski problem based on the (p,q)-mixed quermassintegrals

Bin Chen, Peibiao Zhao, Weidong Wang

arxiv:2010.11373 v2 · 2020-10-22 · 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{XJAUMJOGSIB4QM252CRODIXIQY}

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	2026-07-05T01:59:33.946179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba414625c69203c8335dd0a2e1a2e886372c587ea45962092ade6949b907c5c2

Aliases

arxiv: 2010.11373 · arxiv_version: 2010.11373v2 · doi: 10.48550/arxiv.2010.11373 · pith_short_12: XJAUMJOGSIB4 · pith_short_16: XJAUMJOGSIB4QM25 · pith_short_8: XJAUMJOG

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/XJAUMJOGSIB4QM252CRODIXIQY \
  | 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: ba414625c69203c8335dd0a2e1a2e886372c587ea45962092ade6949b907c5c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27b413ed81d3b5619afad2d3b7ce53803b43b87db3d3fe9acf469c3d1891eca9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-10-22T01:46:38Z",
    "title_canon_sha256": "7f89bc4dca55465d0e436b2105c5279a9229f8f9af3c4411db0ad6e1a6b1d9e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.11373",
    "kind": "arxiv",
    "version": 2
  }
}