Pith Number

pith:M2YHTBBD

pith:2024:M2YHTBBD5BJJ2ZEHBV443SQKG3

not attested not anchored not stored refs pending

On the total surface area of potato packings

Emanuele Paolini, Eugene Stepanov, Matteo Novaga

arxiv:2412.10905 v3 · 2024-12-14 · math.MG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2YHTBBD5BJJ2ZEHBV443SQKG3}

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	2026-07-05T10:23:58.939001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66b0798423e8529d64870d79cdca0a36f8ac3626a37f9f6f1319ec7a6db0ec8f

Aliases

arxiv: 2412.10905 · arxiv_version: 2412.10905v3 · doi: 10.48550/arxiv.2412.10905 · pith_short_12: M2YHTBBD5BJJ · pith_short_16: M2YHTBBD5BJJ2ZEH · pith_short_8: M2YHTBBD

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/M2YHTBBD5BJJ2ZEHBV443SQKG3 \
  | 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: 66b0798423e8529d64870d79cdca0a36f8ac3626a37f9f6f1319ec7a6db0ec8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26e6e5ec2bd313c34568f1f48bc28c46424397bcc9fff26a12a4af34de6ecfb5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-12-14T17:30:11Z",
    "title_canon_sha256": "c9ce54d749fe5c1dee8afe624c72b1368cf362d5dbc00c4788ca5c6dde2a4938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.10905",
    "kind": "arxiv",
    "version": 3
  }
}