Pith Number

pith:NT2CQHZY

pith:2013:NT2CQHZYOZZUDJCFT7JFRAD5YH

not attested not anchored not stored refs pending

Estimation in exponential families on permutations

Sumit Mukherjee

arxiv:1307.0978 v3 · 2013-07-03 · 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{NT2CQHZYOZZUDJCFT7JFRAD5YH}

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	2026-05-18T01:15:39.228741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cf4281f38767341a4459fd258807dc1d8ea5c1a081e730e1ac079a41d312598

Aliases

arxiv: 1307.0978 · arxiv_version: 1307.0978v3 · doi: 10.48550/arxiv.1307.0978 · pith_short_12: NT2CQHZYOZZU · pith_short_16: NT2CQHZYOZZUDJCF · pith_short_8: NT2CQHZY

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/NT2CQHZYOZZUDJCFT7JFRAD5YH \
  | 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: 6cf4281f38767341a4459fd258807dc1d8ea5c1a081e730e1ac079a41d312598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c2fc0e28f21439c37f76846f749c84896298aa25714d3bdbe700327c212b72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-03T11:57:16Z",
    "title_canon_sha256": "15109c15c629fa1ae8228a8cb18bf4366cdace28c35f038b1396367cd12ed36f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0978",
    "kind": "arxiv",
    "version": 3
  }
}