Pith Number

pith:W3ER7FWQ

pith:2016:W3ER7FWQSB3765QYYENTYKAHKM

not attested not anchored not stored refs pending

On Estimation in Tournaments and Graphs under Monotonicity Constraints

Sabyasachi Chatterjee, Sumit Mukherjee

arxiv:1603.04556 v5 · 2016-03-15 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3ER7FWQSB3765QYYENTYKAHKM}

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	2026-05-18T00:33:44.200630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6c91f96d09077ff7618c11b3c2807530f689db23745f4c0ce7ac29f5ec2828f

Aliases

arxiv: 1603.04556 · arxiv_version: 1603.04556v5 · doi: 10.48550/arxiv.1603.04556 · pith_short_12: W3ER7FWQSB37 · pith_short_16: W3ER7FWQSB3765QY · pith_short_8: W3ER7FWQ

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/W3ER7FWQSB3765QYYENTYKAHKM \
  | 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: b6c91f96d09077ff7618c11b3c2807530f689db23745f4c0ce7ac29f5ec2828f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad3868195f395ac8dd853453652ce9a5d1445339cf5fb9692c301f94d2b6b94",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-03-15T05:11:44Z",
    "title_canon_sha256": "c2e2ab745fabbd3ebb285250a82c1a9489d8bc918a6f804df8c56da60e69a504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04556",
    "kind": "arxiv",
    "version": 5
  }
}