Pith Number

pith:LTYUIZAG

pith:2012:LTYUIZAGCZX4QDUK3Y4Z77K3GW

not attested not anchored not stored refs pending

Exactly Solvable Balanced Tenable Urns with Random Entries via the Analytic Methodology

Basile Morcrette (LIP6, Hosam M. Mahmoud, INRIA Rocquencourt)

arxiv:1207.4948 v1 · 2012-07-20 · math.CO · cs.DM · 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{LTYUIZAGCZX4QDUK3Y4Z77K3GW}

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	2026-05-18T03:50:22.771424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf1446406166fc80e8ade399ffd5b359dc006877e7acd45e170557e674168d5

Aliases

arxiv: 1207.4948 · arxiv_version: 1207.4948v1 · doi: 10.48550/arxiv.1207.4948 · pith_short_12: LTYUIZAGCZX4 · pith_short_16: LTYUIZAGCZX4QDUK · pith_short_8: LTYUIZAG

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/LTYUIZAGCZX4QDUK3Y4Z77K3GW \
  | 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: 5cf1446406166fc80e8ade399ffd5b359dc006877e7acd45e170557e674168d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18ac7bd8c5f04cbf863315daa06156b00c8c87350899c3115297c2268f5a19e6",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-20T13:33:42Z",
    "title_canon_sha256": "8e377034423488e3bc03c309696c570c5260d4686765f728b3c7bc6b8f3d1d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4948",
    "kind": "arxiv",
    "version": 1
  }
}