Pith Number

pith:P5YHMDRL

pith:2017:P5YHMDRLW4ACIUQT73BVUBKWX5

not attested not anchored not stored refs pending

The combinatorics of the colliding bullets problem

Jean-Fran\c{c}ois Marckert, Nicolas Broutin

arxiv:1709.00789 v3 · 2017-09-04 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5YHMDRLW4ACIUQT73BVUBKWX5}

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	2026-07-05T00:38:30.997742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f70760e2bb700245213fec35a0556bf486fc2bffebd34b43068a32871976da2

Aliases

arxiv: 1709.00789 · arxiv_version: 1709.00789v3 · doi: 10.48550/arxiv.1709.00789 · pith_short_12: P5YHMDRLW4AC · pith_short_16: P5YHMDRLW4ACIUQT · pith_short_8: P5YHMDRL

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/P5YHMDRLW4ACIUQT73BVUBKWX5 \
  | 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: 7f70760e2bb700245213fec35a0556bf486fc2bffebd34b43068a32871976da2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f13fab86b485c78054349c5db3197a4ae97a1faacd0dc3ebc8dcd67fb9b356",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-04T02:32:33Z",
    "title_canon_sha256": "7b01efa81de4474368b3f810fc007234516a285daf0be56d81a9059a908c57fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00789",
    "kind": "arxiv",
    "version": 3
  }
}