Pith Number

pith:XDBBFLWC

pith:2018:XDBBFLWC7V52QZPRU3TOH3RM5K

not attested not anchored not stored refs pending

On the number of hard ball collisions

Krzysztof Burdzy, Mauricio Duarte

arxiv:1804.04650 v1 · 2018-04-12 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDBBFLWC7V52QZPRU3TOH3RM5K}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:18:36.625653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8c212aec2fd7ba865f1a6e6e3ee2cea95b504525862ecf7c7d861f0b41cc1d3

Aliases

arxiv: 1804.04650 · arxiv_version: 1804.04650v1 · doi: 10.48550/arxiv.1804.04650 · pith_short_12: XDBBFLWC7V52 · pith_short_16: XDBBFLWC7V52QZPR · pith_short_8: XDBBFLWC

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/XDBBFLWC7V52QZPRU3TOH3RM5K \
  | 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: b8c212aec2fd7ba865f1a6e6e3ee2cea95b504525862ecf7c7d861f0b41cc1d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65bb44daf8c0e62f9ae56d51c0c94672f7627ef22560c57d5432d434c8708e94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-12T17:56:26Z",
    "title_canon_sha256": "82c4a7d6cc827afa2eaf25ad72042bee72e51d75e4c8402feac7533461df61f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04650",
    "kind": "arxiv",
    "version": 1
  }
}