Pith Number

pith:4OQDMCAD

pith:2024:4OQDMCADA7FSHQ3ST7JCOS6VPG

not attested not anchored not stored refs pending

The even Lp Gaussian dual Minkowski problem

J.C.Liu, W.Shi

arxiv:2412.13651 v1 · 2024-12-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OQDMCADA7FSHQ3ST7JCOS6VPG}

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	2026-07-05T09:51:05.927866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a036080307cb23c3729fd2274bd579ab2534141ee8927408c6575934ae19db

Aliases

arxiv: 2412.13651 · arxiv_version: 2412.13651v1 · doi: 10.48550/arxiv.2412.13651 · pith_short_12: 4OQDMCADA7FS · pith_short_16: 4OQDMCADA7FSHQ3S · pith_short_8: 4OQDMCAD

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/4OQDMCADA7FSHQ3ST7JCOS6VPG \
  | 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: e3a036080307cb23c3729fd2274bd579ab2534141ee8927408c6575934ae19db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4754198224b475adbe26f76e1690326194776a4ba1fac72d6e5a56b06d90e311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-12-18T09:30:46Z",
    "title_canon_sha256": "077844dd7d7d349a14453a384c35277b1bdb4b199f8e6caff597f6fa8c37ba15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13651",
    "kind": "arxiv",
    "version": 1
  }
}