Pith Number

pith:WH2SDJMS

pith:2015:WH2SDJMSPG5LFSRAJ7D7VI5RJW

not attested not anchored not stored refs pending

Do Minkowski averages get progressively more convex?

Arnaud Marsiglietti, Artem Zvavitch, Matthieu Fradelizi, Mokshay Madiman

arxiv:1512.03718 v2 · 2015-12-05 · math.MG · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WH2SDJMSPG5LFSRAJ7D7VI5RJW}

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	2026-05-18T01:21:11.071085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1f521a59279bab2ca204fc7faa3b14dbf3919d6657cf86f4fd936b387ed0031

Aliases

arxiv: 1512.03718 · arxiv_version: 1512.03718v2 · doi: 10.48550/arxiv.1512.03718 · pith_short_12: WH2SDJMSPG5L · pith_short_16: WH2SDJMSPG5LFSRA · pith_short_8: WH2SDJMS

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/WH2SDJMSPG5LFSRAJ7D7VI5RJW \
  | 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: b1f521a59279bab2ca204fc7faa3b14dbf3919d6657cf86f4fd936b387ed0031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0da1eacc1958e57cf913d6e159cb8abfc9c90f320bd6bb0db54111ec4e784f44",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-12-05T14:11:50Z",
    "title_canon_sha256": "7332ab348bf6630a710a4552a910085cdfaf8bb43968ca37ac86ce8d56e42e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03718",
    "kind": "arxiv",
    "version": 2
  }
}