Pith Number

pith:4DJCUFRP

pith:2018:4DJCUFRPLXEA7PBHHB3LMN5VT2

not attested not anchored not stored refs pending

Generalized P\'olya Urn Schemes with Negative but Linear Reinforcements

Antar Bandyopadhyay, Gursharn Kaur

arxiv:1801.02380 v1 · 2018-01-08 · 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{4DJCUFRPLXEA7PBHHB3LMN5VT2}

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	2026-05-18T00:26:31.817741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d22a162f5dc80fbc273876b637b59e95e29592f7cfdc950c294cfc509aae66

Aliases

arxiv: 1801.02380 · arxiv_version: 1801.02380v1 · doi: 10.48550/arxiv.1801.02380 · pith_short_12: 4DJCUFRPLXEA · pith_short_16: 4DJCUFRPLXEA7PBH · pith_short_8: 4DJCUFRP

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/4DJCUFRPLXEA7PBHHB3LMN5VT2 \
  | 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: e0d22a162f5dc80fbc273876b637b59e95e29592f7cfdc950c294cfc509aae66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000d3290f87796a7101b0fabd50019ec1416632ae136b9438aab4c467b4798a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-08T10:57:16Z",
    "title_canon_sha256": "8d29261ee2440f1179ac8a64684a641684de79aab5f1d1ba2c29b91238541f0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02380",
    "kind": "arxiv",
    "version": 1
  }
}