Pith Number

pith:P3N3BN6X

pith:2020:P3N3BN6XYXKMM4TVJKPANBO63E

not attested not anchored not stored refs pending

Concentration-Bound Analysis for Probabilistic Programs and Probabilistic Recurrence Relations

Amir Kafshdar Goharshady, Hongfei Fu, Jinyi Wang, Krishnendu Chatterjee, Mingzhang Huang, Yican Sun

arxiv:2008.00425 v3 · 2020-08-02 · cs.PL · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3N3BN6XYXKMM4TVJKPANBO63E}

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	2026-07-05T01:26:42.284876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7edbb0b7d7c5d4c672754a9e0685ded902b156ff4a7394c4c91cec5fa5652e46

Aliases

arxiv: 2008.00425 · arxiv_version: 2008.00425v3 · doi: 10.48550/arxiv.2008.00425 · pith_short_12: P3N3BN6XYXKM · pith_short_16: P3N3BN6XYXKMM4TV · pith_short_8: P3N3BN6X

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/P3N3BN6XYXKMM4TVJKPANBO63E \
  | 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: 7edbb0b7d7c5d4c672754a9e0685ded902b156ff4a7394c4c91cec5fa5652e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2627f5ce153bd78717a86901b3045d20fae7cb2c9f92c8fd02f3a1d3db8f5b2f",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2020-08-02T07:31:02Z",
    "title_canon_sha256": "78fa794e454ad6a4ae7f0b3dab4d1476c2d8d20c659c4d2f81e3a953e09d5ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.00425",
    "kind": "arxiv",
    "version": 3
  }
}