Pith Number

pith:MDZIL3XM

pith:2010:MDZIL3XM4J7UA4UL5QMLIPUCZH

not attested not anchored not stored refs pending

Oded Schramm's contributions to noise sensitivity

Christophe Garban

arxiv:1007.0422 v3 · 2010-07-02 · math.PR · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDZIL3XM4J7UA4UL5QMLIPUCZH}

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	2026-05-18T04:02:52.998931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60f285eeece27f40728bec18b43e82c9d961f4e74869b35692de21f22e2ec1f3

Aliases

arxiv: 1007.0422 · arxiv_version: 1007.0422v3 · doi: 10.48550/arxiv.1007.0422 · pith_short_12: MDZIL3XM4J7U · pith_short_16: MDZIL3XM4J7UA4UL · pith_short_8: MDZIL3XM

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/MDZIL3XM4J7UA4UL5QMLIPUCZH \
  | 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: 60f285eeece27f40728bec18b43e82c9d961f4e74869b35692de21f22e2ec1f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a1fb91a0605b5bfff6f9f333fe1cb56c99b4a9da062cf0d4f79357f7c0b92d",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-02T18:28:12Z",
    "title_canon_sha256": "9f3c9bf2dc5ffe1f4f2c94b0b192031c53c0819f60efb6746a55aa57770ca39d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0422",
    "kind": "arxiv",
    "version": 3
  }
}