Pith Number

pith:36DKPHPF

pith:2011:36DKPHPFALPLIT655B55NNWIHI

not attested not anchored not stored refs pending

Approximate group context tree

Alexandre Belloni, Roberto I. Oliveira

arxiv:1107.0312 v3 · 2011-07-01 · stat.ME · 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{36DKPHPFALPLIT655B55NNWIHI}

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	2026-05-18T01:23:33.899669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df86a79de502deb44fdde87bd6b6c83a31e2dcde2a08b83b939079c89ff6f5fa

Aliases

arxiv: 1107.0312 · arxiv_version: 1107.0312v3 · doi: 10.48550/arxiv.1107.0312 · pith_short_12: 36DKPHPFALPL · pith_short_16: 36DKPHPFALPLIT65 · pith_short_8: 36DKPHPF

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/36DKPHPFALPLIT655B55NNWIHI \
  | 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: df86a79de502deb44fdde87bd6b6c83a31e2dcde2a08b83b939079c89ff6f5fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c30ce6c5dbfd7baa843d5a4df21ee358182b4b2338040858f0aac858088e18b",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2011-07-01T19:57:21Z",
    "title_canon_sha256": "d4026f57ad4e61c10b25de57633966c46f9cff90c0bdb8dccf2c1ed0c696d384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0312",
    "kind": "arxiv",
    "version": 3
  }
}