Pith Number

pith:OAZZVIMG

pith:2010:OAZZVIMGAIIDFFJB23D6NSP4N7

not attested not anchored not stored refs pending

Random Gaussian sums on trees

Mikhail Lifshits, Werner Linde

arxiv:1012.2683 v1 · 2010-12-13 · 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{OAZZVIMGAIIDFFJB23D6NSP4N7}

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	2026-05-18T03:39:29.410099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70339aa1860210329521d6c7e6c9fc6ffac13fd535f0f105070c37984c4acf50

Aliases

arxiv: 1012.2683 · arxiv_version: 1012.2683v1 · doi: 10.48550/arxiv.1012.2683 · pith_short_12: OAZZVIMGAIID · pith_short_16: OAZZVIMGAIIDFFJB · pith_short_8: OAZZVIMG

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/OAZZVIMGAIIDFFJB23D6NSP4N7 \
  | 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: 70339aa1860210329521d6c7e6c9fc6ffac13fd535f0f105070c37984c4acf50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b2bdf0df34cfdd7e5214854be5e04378d6aa58f4a8a48cd630ca507ecd6c23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-13T10:27:54Z",
    "title_canon_sha256": "4f46b54886d8cecf7fe85310a744ee4f84b65f47734160797e1d938064152284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2683",
    "kind": "arxiv",
    "version": 1
  }
}