Pith Number

pith:RUOQNAF4

pith:2026:RUOQNAF4AHZ7VVYADTF4FY54YS

not attested not anchored not stored refs pending

Counterintuitive problems in discrete probability

Bernardo Busoni, Gianmarco Bet, Luca Avena

arxiv:2606.07516 v1 · 2026-06-05 · 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{RUOQNAF4AHZ7VVYADTF4FY54YS}

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	2026-06-08T01:05:32.344982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d1d0680bc01f3fad7001ccbc2e3bcc4ac9f9187ad68ff5ea67e8f03bf81820c

Aliases

arxiv: 2606.07516 · arxiv_version: 2606.07516v1 · doi: 10.48550/arxiv.2606.07516 · pith_short_12: RUOQNAF4AHZ7 · pith_short_16: RUOQNAF4AHZ7VVYA · pith_short_8: RUOQNAF4

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/RUOQNAF4AHZ7VVYADTF4FY54YS \
  | 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: 8d1d0680bc01f3fad7001ccbc2e3bcc4ac9f9187ad68ff5ea67e8f03bf81820c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad92f784997eaf832f3d62a698d97dd23cbe688d0a5762d778b9485fbf5acddc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-05T17:59:46Z",
    "title_canon_sha256": "1ed07c8e6c6176325edc8cae387e4e5e615075fdecb195c62c8c7d7a3d5ff0c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07516",
    "kind": "arxiv",
    "version": 1
  }
}