Pith Number

pith:7QLYAEHC

pith:2018:7QLYAEHCAUG5YLJZ3IOQLQIGOM

not attested not anchored not stored refs pending

Periodic P\'olya urns and an application to Young tableaux

Cyril Banderier (LIPN), Michael Wallner (TU Wien), Philippe Marchal (LRGP)

arxiv:1806.03133 v1 · 2018-06-08 · cs.DM · 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{7QLYAEHCAUG5YLJZ3IOQLQIGOM}

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	2026-05-18T00:12:42.923745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc178010e2050ddc2d39da1d05c106733ffa3114e46fc916d72812ec3090cada

Aliases

arxiv: 1806.03133 · arxiv_version: 1806.03133v1 · doi: 10.48550/arxiv.1806.03133 · pith_short_12: 7QLYAEHCAUG5 · pith_short_16: 7QLYAEHCAUG5YLJZ · pith_short_8: 7QLYAEHC

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/7QLYAEHCAUG5YLJZ3IOQLQIGOM \
  | 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: fc178010e2050ddc2d39da1d05c106733ffa3114e46fc916d72812ec3090cada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "208074a62647117ad53d2f0abcd09d211fe8bff4b5beef08ccb4f132d5fc1a8a",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-06-08T13:11:56Z",
    "title_canon_sha256": "3793013302b74c35a2436ca2e6c8ac4733bf559f6813ae95d690789d484fe1e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03133",
    "kind": "arxiv",
    "version": 1
  }
}