Pith Number

pith:VY3ZQRIT

pith:2017:VY3ZQRITOYIQXGC35FUDJRSTJ6

not attested not anchored not stored refs pending

Operator estimates for the crushed ice problem

Andrii Khrabustovskyi, Olaf Post

arxiv:1710.03080 v2 · 2017-10-09 · math.SP · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VY3ZQRITOYIQXGC35FUDJRSTJ6}

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	2026-05-18T00:27:18.768004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae3798451376110b985be96834c6534f948f25d133e790334268e0e78e9353ef

Aliases

arxiv: 1710.03080 · arxiv_version: 1710.03080v2 · doi: 10.48550/arxiv.1710.03080 · pith_short_12: VY3ZQRITOYIQ · pith_short_16: VY3ZQRITOYIQXGC3 · pith_short_8: VY3ZQRIT

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/VY3ZQRITOYIQXGC35FUDJRSTJ6 \
  | 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: ae3798451376110b985be96834c6534f948f25d133e790334268e0e78e9353ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09a9b743c510e4415e317e2ebc482b211c400da86104e9d485818064dd74313e",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-10-09T13:28:25Z",
    "title_canon_sha256": "87624284d52e37f75329935d55e90c08833e9d56df4a47dbf0f3df6c64280279"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03080",
    "kind": "arxiv",
    "version": 2
  }
}