Pith Number

pith:4MQ54BHH

pith:2021:4MQ54BHH7EATVFXQXYI6DN4JAM

not attested not anchored not stored refs pending

A Semiring Structure for Generalised P\'olya Urns

Fabian Burghart

arxiv:2111.07810 v1 · 2021-11-15 · 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{4MQ54BHH7EATVFXQXYI6DN4JAM}

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	2026-07-05T03:31:44.013195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e321de04e7f9013a96f0be11e1b789033eaeb10aef85cb71a25b5e1a79b3e7f0

Aliases

arxiv: 2111.07810 · arxiv_version: 2111.07810v1 · doi: 10.48550/arxiv.2111.07810 · pith_short_12: 4MQ54BHH7EAT · pith_short_16: 4MQ54BHH7EATVFXQ · pith_short_8: 4MQ54BHH

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/4MQ54BHH7EATVFXQXYI6DN4JAM \
  | 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: e321de04e7f9013a96f0be11e1b789033eaeb10aef85cb71a25b5e1a79b3e7f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69f34c166995735f8f6b68103f92d8db7cd3970fe8ca7313f82ab3e1e5d8ded9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-11-15T14:49:34Z",
    "title_canon_sha256": "a35d3132273465511e613c09dbd51dd1ed17dc52b341ff2752fccea762da3954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07810",
    "kind": "arxiv",
    "version": 1
  }
}